CINXE.COM

<!doctype html> <html lang="en-US" prefix="og: https://ogp.me/ns#"> <head><script type="text/javascript" src="/_static/js/bundle-playback.js?v=HxkREWBo" charset="utf-8"></script> <script type="text/javascript" src="/_static/js/wombat.js?v=txqj7nKC" charset="utf-8"></script> <script>window.RufflePlayer=window.RufflePlayer||{};window.RufflePlayer.config={"autoplay":"on","unmuteOverlay":"hidden"};</script> <script type="text/javascript" src="/_static/js/ruffle/ruffle.js"></script> <script type="text/javascript"> __wm.init("https://web.archive.org/web"); __wm.wombat("https://www.adducation.info/general-knowledge-science-technology/irrational-numbers/","20220129013222","https://web.archive.org/","web","/_static/", "1643419942"); </script> <link rel="stylesheet" type="text/css" href="/_static/css/banner-styles.css?v=S1zqJCYt" /> <link rel="stylesheet" type="text/css" href="/_static/css/iconochive.css?v=3PDvdIFv" />  <link rel="dns-prefetch" href="//web.archive.org/web/20220129013222/https://www.google-analytics.com/"><link rel="dns-prefetch" href="//web.archive.org/web/20220129013222/https://ajax.googleapis.com/"><link rel="dns-prefetch" href="//web.archive.org/web/20220129013222/https://maxcdn.bootstrapcdn.com/"><script>!function(e,t){function n(){for(var e,n=t.getElementsByTagName("link"),r=0;r<n.length;r++)"preload"===(e=n[r]).rel&&"style"===e.getAttribute("as")&&(!function(e,n,r){function a(){l.addEventListener&&l.removeEventListener("load",a),l.media=r||"all"}var l=t.createElement("link");l.rel="stylesheet",l.href=e,l.media="only x";l.addEventListener&&l.addEventListener("load",a);(function e(){t.body?n.parentNode.insertBefore(l,n):setTimeout(e)})(),function e(){for(var n=t.styleSheets,r=n.length;r--;)if(n[r].href===l.href)return a();setTimeout(e)}()}(e.href,e,e.media),e.rel=null)}function r(){n(),clearInterval(a)}try{if(t.createElement("link").relList.supports("preload"))return}catch(e){}var a=setInterval(n,300);e.addEventListener&&e.addEventListener("load",r),e.attachEvent&&e.attachEvent("onload",r),n()}(window,document);</script><meta name="viewport" content="width=device-width, initial-scale=1"> <meta charset="UTF-8"> <meta name="verification" content="2c3cba991a11d9ec2e3ef05ba4b762de"/> <meta name="verification" content="90911b2ade0e3441cec71224db13fff7"/> <meta name="verification" content="ea3a2fa388d508aa0a48d4ac271726e3"/> <meta name="verification" content="4e035a5ad3d4f76a054686c79dce5476"/> <meta name="verification" content="7f0825f3028992785d66a98e31a4f3f7"/> <style>body,html{font-size:100%;padding:0}html{font-family:sans-serif;-ms-text-size-adjust:100%;-webkit-text-size-adjust:100%}body{margin:0;line-height:1.428571429;background-color:#fff;--wp--preset--color--black:#000;--wp--preset--color--cyan-bluish-gray:#abb8c3;--wp--preset--color--white:#fff;--wp--preset--color--pale-pink:#f78da7;--wp--preset--color--vivid-red:#cf2e2e;--wp--preset--color--luminous-vivid-orange:#ff6900;--wp--preset--color--luminous-vivid-amber:#fcb900;--wp--preset--color--light-green-cyan:#7bdcb5;--wp--preset--color--vivid-green-cyan:#00d084;--wp--preset--color--pale-cyan-blue:#8ed1fc;--wp--preset--color--vivid-cyan-blue:#0693e3;--wp--preset--color--vivid-purple:#9b51e0;--wp--preset--gradient--vivid-cyan-blue-to-vivid-purple:linear-gradient(135deg,#0693e3 0%,#9b51e0 100%);--wp--preset--gradient--light-green-cyan-to-vivid-green-cyan:linear-gradient(135deg,#7adcb4 0%,#00d082 100%);--wp--preset--gradient--luminous-vivid-amber-to-luminous-vivid-orange:linear-gradient(135deg,#fcb900 0%,#ff6900 100%);--wp--preset--gradient--luminous-vivid-orange-to-vivid-red:linear-gradient(135deg,#ff6900 0%,#cf2e2e 100%);--wp--preset--gradient--very-light-gray-to-cyan-bluish-gray:linear-gradient(135deg,#eee 0%,#a9b8c3 100%);--wp--preset--gradient--cool-to-warm-spectrum:linear-gradient(135deg,#4aeadc 0%,#9778d1 20%,#cf2aba 40%,#ee2c82 60%,#fb6962 80%,#fef84c 100%);--wp--preset--gradient--blush-light-purple:linear-gradient(135deg,#ffceec 0%,#9896f0 100%);--wp--preset--gradient--blush-bordeaux:linear-gradient(135deg,#fecda5 0%,#fe2d2d 50%,#6b003e 100%);--wp--preset--gradient--luminous-dusk:linear-gradient(135deg,#ffcb70 0%,#c751c0 50%,#4158d0 100%);--wp--preset--gradient--pale-ocean:linear-gradient(135deg,#fff5cb 0%,#b6e3d4 50%,#33a7b5 100%);--wp--preset--gradient--electric-grass:linear-gradient(135deg,#caf880 0%,#71ce7e 100%);--wp--preset--gradient--midnight:linear-gradient(135deg,#020381 0%,#2874fc 100%);--wp--preset--duotone--dark-grayscale:url(/web/20220129013222im_/https://www.adducation.info/?pagespeedninja=no#wp-duotone-dark-grayscale);--wp--preset--duotone--grayscale:url(/web/20220129013222im_/https://www.adducation.info/?pagespeedninja=no#wp-duotone-grayscale);--wp--preset--duotone--purple-yellow:url(/web/20220129013222im_/https://www.adducation.info/?pagespeedninja=no#wp-duotone-purple-yellow);--wp--preset--duotone--blue-red:url(/web/20220129013222im_/https://www.adducation.info/?pagespeedninja=no#wp-duotone-blue-red);--wp--preset--duotone--midnight:url(/web/20220129013222im_/https://www.adducation.info/?pagespeedninja=no#wp-duotone-midnight);--wp--preset--duotone--magenta-yellow:url(/web/20220129013222im_/https://www.adducation.info/?pagespeedninja=no#wp-duotone-magenta-yellow);--wp--preset--duotone--purple-green:url(/web/20220129013222im_/https://www.adducation.info/?pagespeedninja=no#wp-duotone-purple-green);--wp--preset--duotone--blue-orange:url(/web/20220129013222im_/https://www.adducation.info/?pagespeedninja=no#wp-duotone-blue-orange);--wp--preset--font-size--small:13px;--wp--preset--font-size--medium:20px;--wp--preset--font-size--large:36px;--wp--preset--font-size--x-large:42px;-moz-osx-font-smoothing:grayscale;color:#030303;font-family:"Open Sans",sans-serif;font-weight:400;font-display:swap}.navbar-brand>img,header,main,nav,section{display:block}a{background-color:transparent;color:#337ab7;text-decoration:none}strong{font-weight:700}h1{margin:.67em 0}img{border:0;vertical-align:middle}svg:not(:root){overflow:hidden}hr{box-sizing:content-box;height:0;margin-top:20px;margin-bottom:20px;border:0;border-top:1px solid #eee}button,input{color:inherit;font:inherit;margin:0}button{overflow:visible;text-transform:none;-webkit-appearance:button}input[type=search]::-webkit-search-cancel-button,input[type=search]::-webkit-search-decoration{-webkit-appearance:none}*,:after,:before,input[type=search]{-webkit-box-sizing:border-box;-moz-box-sizing:border-box;box-sizing:border-box}button,input{font-family:inherit;font-size:inherit;line-height:inherit}.img-rounded{border-radius:6px}.sr-only{position:absolute;width:1px;height:1px;margin:-1px;padding:0;overflow:hidden;clip:rect(0,0,0,0);border:0}h1,h2,h4{font-family:inherit;font-weight:500;line-height:1.1;color:inherit}h1,h2{margin-top:20px}h1,h2,h4,ul{margin-bottom:10px}h4{margin-top:10px;font-size:18px}h1{font-size:36px}h2{font-size:30px}p{margin:0 0 10px}ul{margin-top:0;padding-left:1em}.container-fluid{margin-right:auto;margin-left:auto;padding-left:15px;padding-right:15px}.row{margin-left:-15px;margin-right:-15px}.col-lg-3,.col-lg-9,.col-md-4,.col-md-6,.col-md-8,.col-sm-12,.col-sm-4,.col-sm-8,.col-xs-12,.col-xs-4,.col-xs-8{position:relative;min-height:1px;padding-left:15px;padding-right:15px}.col-xs-12,.col-xs-4,.col-xs-8{float:left}.col-xs-12{width:100%}.col-xs-8{width:66.66666666666666%}.col-xs-4{width:33.33333333333333%}input[type=search]{-webkit-appearance:none}.collapse{display:none}.nav{margin-bottom:0;padding-left:0;list-style:none}#content .floating-headline,.nav>li,.nav>li>a{position:relative;display:block}.nav>li>a{padding:10px 15px}.navbar{position:relative;min-height:50px;margin-bottom:20px;border:1px solid transparent}.navbar-collapse{overflow-x:visible;padding-right:15px;padding-left:15px;border-top:1px solid transparent;box-shadow:inset 0 1px 0 rgba(255,255,255,.1);-webkit-overflow-scrolling:touch}.navbar-brand{float:left;padding:15px;font-size:18px;line-height:20px;height:50px}.navbar-toggle{position:relative;float:right;margin-right:15px;padding:9px 10px;margin-top:8px;margin-bottom:8px;background-color:transparent;background-image:none;border:1px solid transparent;border-radius:4px}.navbar-nav{margin:7.5px -15px}.navbar-nav>li>a{padding-top:10px;padding-bottom:10px;line-height:20px}.navbar-default{background-color:#f8f8f8;border-color:#e7e7e7}.navbar-default .navbar-brand,.navbar-default .navbar-nav>li>a{color:#777}.navbar-default .navbar-toggle{border-color:#ddd}.navbar-default .navbar-collapse{border-color:#e7e7e7}.clearfix:after,.clearfix:before,.container-fluid:after,.container-fluid:before,.nav:after,.nav:before,.navbar-collapse:after,.navbar-collapse:before,.navbar-header:after,.navbar-header:before,.navbar:after,.navbar:before,.row:after,.row:before{content:" ";display:table}.clearfix:after,.container-fluid:after,.nav:after,.navbar-collapse:after,.navbar-header:after,.navbar:after,.row:after{clear:both}.pull-right{float:right!important}a#scroll-to-top{background:url(/web/20220129013222im_/https://www.adducation.info/wp-content/plugins/jquery-smooth-scroll/images/arrow.png) no-repeat center center;width:35px;height:35px;position:fixed;right:30px;bottom:30px;text-indent:-9999px;font-size:0;outline:0}header{background-color:#099}header .navbar-default{background:0 0;border:0;border-radius:0}header .navbar-default .navbar-brand{height:auto;padding:1em 0}header .navbar-default .navbar-brand img{max-width:100%;height:auto;width:100%}header .navbar-default .navbar-toggle{background-color:#fff;margin:1em 0 0;padding:5px 6px}header .navbar-default .navbar-toggle .menu-label{white-space:nowrap;font-weight:700;color:#000}header .navbar-default .navbar-collapse{border:0}header .navbar-default #menu-categories li a span.text{color:#fff;display:inline-block;padding-left:34px}header .navbar-default #menu-categories li .icon{font-family:icomoon;color:#fff;font-size:1.4em;position:absolute;left:10px}header .navbar-default #menu-categories li.earth_space{background-color:#0576d2}header .navbar-default #menu-categories li.earth_space .icon:before{content:"\e601"}header .navbar-default #menu-categories li.mankind_nature{background-color:#a5ad0e}header .navbar-default #menu-categories li.mankind_nature .icon:before{content:"\e608"}header .navbar-default #menu-categories li.science_technology{background-color:#0d713c}header .navbar-default #menu-categories li.science_technology .icon:before{content:"\e60e"}header .navbar-default #menu-categories li.travel_transport{background-color:#e3176e}header .navbar-default #menu-categories li.travel_transport .icon:before{content:"\e60b"}header .navbar-default #menu-categories li.history{background-color:#ffb002}header .navbar-default #menu-categories li.history .icon:before{content:"\e604"}header .navbar-default #menu-categories li.politics{background-color:#8b60d1}header .navbar-default #menu-categories li.politics .icon:before{content:"\e60a"}header .navbar-default #menu-categories li.literature{background-color:#3ec9d1}header .navbar-default #menu-categories li.literature .icon:before{content:"\e607"}header .navbar-default #menu-categories li.art{background-color:#d01118}header .navbar-default #menu-categories li.art .icon:before{content:"\e606"}header .navbar-default #menu-categories li.classical_music{background-color:#af7f48}header .navbar-default #menu-categories li.classical_music .icon:before{content:"\e605"}header .navbar-default #menu-categories li.rock_pop{background-color:#e48076}header .navbar-default #menu-categories li.rock_pop .icon:before{content:"\e60c"}header .navbar-default #menu-categories li.movies_tv{background-color:#c136ac}header .navbar-default #menu-categories li.movies_tv .icon:before{content:"\e602"}header .navbar-default #menu-categories li.sport{background-color:#c17e00}header .navbar-default #menu-categories li.sport .icon:before{content:"\e60d"}header .navbar-default #menu-categories li.football{background-color:#000}header .navbar-default #menu-categories li.football .icon:before{content:"\e603"}header .navbar-default #menu-categories li.current_knowledge{background-color:#1dbe6d}header .navbar-default #menu-categories li.current_knowledge .icon:before{content:"\e600"}header .navbar-default #menu-categories li.lifestyle{background-color:#d8bfd8}header .navbar-default #menu-categories li.lifestyle .icon:before{content:"\e609"}header .navbar-default #menu-categories li.quizzes{background-color:#e85d10}header .navbar-default #menu-categories li.quizzes .icon:before{content:"\ea09"}header #menu-service{padding:0 0 0 .5em;margin:0 0 .5em}header #menu-service li{padding:0;margin:0;display:block;float:left;list-style:none}header #menu-service li a{color:#fff;font-size:.875em;display:inline-block;padding:.5em .5em 0;border-right:1px solid #00b3b3;margin-bottom:.5em}header #menu-service li:last-child a{border-right:none}#content{font-size:100%;padding-bottom:3em}#content a{color:#099;text-decoration:underline}#content p{margin:1em,0,1em,0}#content .floating-headline h1{display:inline-block;margin:0;padding:0 0 4px;font-size:2em;font-weight:600}#content .floating-headline .headvisual{display:block;width:100%;position:relative;margin-top:8px}#content .floating-headline .headvisual img{display:block;width:100%;height:auto}#content .floating-headline .headvisual h1{color:#fff;font-size:1.5em;font-weight:600;font-style:italic;position:relative;width:100%;margin:0;padding:10px 20px;background-color:#e85d10}#content h2{font-size:1.5em;font-weight:600;margin:1em 0}#content img{max-width:100%;height:auto}#content hr{-moz-border-bottom-colors:none;-moz-border-left-colors:none;-moz-border-right-colors:none;-moz-border-top-colors:none;border-color:#bfbfbf -moz-use-text-color -moz-use-text-color;border-image:none;border-right:medium none;border-style:solid none none;border-width:1px medium medium;clear:both;height:1px;margin:20px 0;width:100%}aside{display:block;margin-left:0}aside .textwidget{margin-top:10px;margin-bottom:10px}aside .search{display:block;padding:8px 90px 8px 0}aside .search .search-input,aside .search .search-submit{display:block;font-size:.875em;height:34px;line-height:20px;padding:4px 10px}aside .search .search-input{width:100%;color:#000;font-style:italic;margin-left:0}aside .search .search-submit{position:absolute;top:8px;right:15px;width:70px;background-color:#000;color:#fff;border:0}aside nav ul{padding:0;margin:0 0 8px}aside nav ul li{padding:0;margin:0;list-style:none;border-bottom:1px solid #b5b5b5;font-size:.875em}aside nav ul li:first-child{border-top:1px solid #b5b5b5}aside nav ul li:last-child{border-bottom:2px solid #e85d10}aside nav ul li a{line-height:2.786em;display:block;padding-left:0;text-decoration:none;color:#e85d10}::-webkit-scrollbar{-webkit-appearance:none}::-webkit-scrollbar-thumb{background-color:#c3c3c3;border-radius:10px;border:2px solid #fff}::-webkit-scrollbar-track{border-radius:10px;background-color:#f5f5f5}#ad-outer-widget{display:none}.search-submit{color:#fff!important;border:0!important;font-size:.875em!important;padding:4px 10px!important;line-height:20px!important;text-decoration:none!important;background:#ff670f!important;background:-moz-linear-gradient(top,#ff670f 0,#e74e0f 100%)!important;background:-webkit-linear-gradient(top,#ff670f 0,#e74e0f 100%)!important;background:linear-gradient(to bottom,#ff670f 0,#e74e0f 100%)!important}.taschenhirn{background-image:url(/web/20220129013222im_/https://www.adducation.info/wp-content/uploads/2019/01/flag-de-27x16px.png);background-repeat:no-repeat;background-position:left}.gdpr_lightbox-hide{display:none}#moove_gdpr_cookie_modal li button .gdpr-svg-icon svg{height:30px;width:auto;background-color:transparent}#moove_gdpr_cookie_info_bar{content-visibility:auto}#moove_gdpr_cookie_modal{margin:0 auto;min-height:60vh;content-visibility:hidden}#moove_gdpr_cookie_modal *{-webkit-font-smoothing:antialiased;-moz-osx-font-smoothing:grayscale;font-family:inherit}#moove_gdpr_cookie_info_bar{position:fixed;bottom:0;left:0;width:100%;min-height:60px;max-height:400px;color:#fff;z-index:9900;background-color:#202020;border-top:1px solid #fff}#moove_gdpr_cookie_info_bar.moove-gdpr-info-bar-hidden{bottom:-400px}#moove_gdpr_cookie_info_bar.moove-gdpr-align-center{text-align:center}#moove_gdpr_cookie_info_bar.moove-gdpr-light-scheme{background-color:#fff;border-top:1px solid #202020}#moove_gdpr_cookie_info_bar,#moove_gdpr_cookie_modal{font-family:'Open Sans',sans-serif}#moove_gdpr_cookie_modal.gdpr_lightbox-hide{display:none}#pt-cv-view-c973c74xur .pt-cv-title a{font-weight:600!important}#pt-cv-view-c973c74xur .img-rounded{-webkit-border-radius:6px!important;-moz-border-radius:6px!important;border-radius:6px!important}#pt-cv-view-917ec0f7jc,#pt-cv-view-c973c74xur{text-align:left}@media print{*,:after,:before{background:0 0!important;color:#000!important;box-shadow:none!important;text-shadow:none!important}a{text-decoration:underline}a[href]:after{content:" (" attr(href) ")"}a[href^="#"]:after{content:""}img{page-break-inside:avoid;max-width:100%!important}h2,p{orphans:3;widows:3}h2{page-break-after:avoid}.navbar{display:none}#moove_gdpr_cookie_info_bar,#moove_gdpr_cookie_modal{display:none!important}}@media (min-width:768px){.col-sm-12,.col-sm-4,.col-sm-8{float:left}.col-sm-12{width:100%}.col-sm-8{width:66.66666666666666%}.col-sm-4{width:33.33333333333333%}header .navbar-header{float:none}header .navbar-default .navbar-brand{height:auto}header .navbar-default .navbar-brand img{max-width:inherit;height:80px;width:auto;display:block;margin:.5em 0 0 1em}#side-nav-collapse,.navbar-toggle{display:block}#ad-outer-widget{display:block;position:absolute;width:160px;height:600px;top:200px;right:0;z-index:10}aside{margin-left:-15px}aside .search{display:block;padding:8px 5px}aside .search .search-input,aside .search .search-submit{display:block;font-size:.875em;height:34px;line-height:20px;padding:4px 10px}aside .search .search-input{width:100%;color:#e85d10;font-style:italic;margin-left:0;margin-bottom:10px}aside .search .search-submit{position:relative;top:inherit;right:inherit;width:70px;background-color:#e85d10;color:#fff;border:0}aside .navbar-collapse{padding-left:0;padding-right:0;border:0!important}aside .navbar-collapse ul{margin-left:0}aside .textwidget{margin-left:37px;margin-top:5px;margin-bottom:5px}aside .sidebar-widget-left-container.textlinks{margin-top:20px}aside nav ul li{border-bottom:none}aside nav ul li a{margin-left:0;padding-left:47px;color:#fff;position:relative}aside nav ul li a:before{font-family:icomoon;color:#fff;font-size:1.4em;position:absolute;left:10px;top:0}aside nav ul li.earth_space a{background-color:#0576d2}aside nav ul li.earth_space a:before{content:"\e601"}aside nav ul li.mankind_nature a{background-color:#a5ad0e}aside nav ul li.mankind_nature a:before{content:"\e608"}aside nav ul li.science_technology a{background-color:#0d713c}aside nav ul li.science_technology a:before{content:"\e60e"}aside nav ul li.travel_transport a{background-color:#e3176e}aside nav ul li.travel_transport a:before{content:"\e60b"}aside nav ul li.history a{background-color:#ffb002}aside nav ul li.history a:before{content:"\e604"}aside nav ul li.politics a{background-color:#8b60d1}aside nav ul li.politics a:before{content:"\e60a"}aside nav ul li.literature a{background-color:#3ec9d1}aside nav ul li.literature a:before{content:"\e607"}aside nav ul li.art a{background-color:#d01118}aside nav ul li.art a:before{content:"\e606"}aside nav ul li.classical_music a{background-color:#af7f48}aside nav ul li.classical_music a:before{content:"\e605"}aside nav ul li.rock_pop a{background-color:#e48076}aside nav ul li.rock_pop a:before{content:"\e60c"}aside nav ul li.movies_tv a{background-color:#c136ac}aside nav ul li.movies_tv a:before{content:"\e602"}aside nav ul li.sport a{background-color:#c17e00}aside nav ul li.sport a:before{content:"\e60d"}aside nav ul li.football a{background-color:#000}aside nav ul li.football a:before{content:"\e603"}aside nav ul li.current_knowledge a{background-color:#1dbe6d}aside nav ul li.current_knowledge a:before{content:"\e600"}aside nav ul li.lifestyle a{background-color:#d8bfd8}aside nav ul li.lifestyle a:before{content:"\e609"}aside nav ul li.quizzes a{background-color:#e85d10}aside nav ul li.quizzes a:before{content:"\ea09"}#content{padding-right:180px}#content img{max-width:100%;height:auto}header .menu-service-container{display:block!important;float:right!important;margin-right:10px}}@media (min-width:992px){.col-md-4,.col-md-6,.col-md-8{float:left}.col-md-8{width:66.66666666666666%}.col-md-6{width:50%}.col-md-4{width:33.33333333333333%}.navbar{border-radius:4px}.navbar-header,.navbar-nav>li{float:left}.navbar-collapse{width:auto;border-top:0;box-shadow:none}.navbar-collapse.collapse{display:block!important;height:auto!important;padding-bottom:0;overflow:visible!important}.navbar>.container-fluid .navbar-brand{margin-left:-15px}.navbar-nav{float:left;margin:0}.navbar-nav>li>a{padding-top:15px;padding-bottom:15px}header{position:fixed;top:0;left:0;width:100%;z-index:1000}header .navbar-collapse{padding-left:0}header .container-fluid{display:table;width:100%;height:100%}header .navbar-default .navbar-brand{height:auto}header .navbar-default .navbar-brand img{max-width:inherit;height:80px;width:auto;display:block;margin:.5em 0 0 1em}header .navbar-default #menu-service{margin-left:-.7em}header .navbar-default #menu-categories{margin-left:-.5em;position:absolute;top:100px;left:15px}header .navbar-default #menu-categories li{position:relative;background:0 0!important;background-size:100% auto}header .navbar-default #menu-categories li a{padding:.65em .6em;border-bottom:4px solid #000}header .navbar-default #menu-categories li a .text{display:none!important}header .navbar-default #menu-categories li .icon{font-family:icomoon;color:#fff;font-size:1.4em;position:relative;left:inherit}header .navbar-default #menu-categories li.earth_space .icon:before{content:"\e601"}header .navbar-default #menu-categories li.earth_space a{border-bottom-color:#0576d2}header .navbar-default #menu-categories li.mankind_nature .icon:before{content:"\e608"}header .navbar-default #menu-categories li.mankind_nature a{border-bottom-color:#a5ad0e}header .navbar-default #menu-categories li.science_technology .icon:before{content:"\e60e"}header .navbar-default #menu-categories li.science_technology a{border-bottom-color:#0d713c}header .navbar-default #menu-categories li.travel_transport .icon:before{content:"\e60b"}header .navbar-default #menu-categories li.travel_transport a{border-bottom-color:#e3176e}header .navbar-default #menu-categories li.history .icon:before{content:"\e604"}header .navbar-default #menu-categories li.history a{border-bottom-color:#ffb002}header .navbar-default #menu-categories li.politics .icon:before{content:"\e60a"}header .navbar-default #menu-categories li.politics a{border-bottom-color:#8b60d1}header .navbar-default #menu-categories li.literature .icon:before{content:"\e607"}header .navbar-default #menu-categories li.literature a{border-bottom-color:#3ec9d1}header .navbar-default #menu-categories li.art .icon:before{content:"\e606"}header .navbar-default #menu-categories li.art a{border-bottom-color:#d01118}header .navbar-default #menu-categories li.classical_music .icon:before{content:"\e605"}header .navbar-default #menu-categories li.classical_music a{border-bottom-color:#af7f48}header .navbar-default #menu-categories li.rock_pop .icon:before{content:"\e60c"}header .navbar-default #menu-categories li.rock_pop a{border-bottom-color:#e48076}header .navbar-default #menu-categories li.movies_tv .icon:before{content:"\e602"}header .navbar-default #menu-categories li.movies_tv a{border-bottom-color:#c136ac}header .navbar-default #menu-categories li.sport .icon:before{content:"\e60d"}header .navbar-default #menu-categories li.sport a{border-bottom-color:#c17e00}header .navbar-default #menu-categories li.football .icon:before{content:"\e603"}header .navbar-default #menu-categories li.football a{border-bottom-color:#000}header .navbar-default #menu-categories li.current_knowledge .icon:before{content:"\e600"}header .navbar-default #menu-categories li.current_knowledge a{border-bottom-color:#1dbe6d}header .navbar-default #menu-categories li.lifestyle .icon:before{content:"\e609"}header .navbar-default #menu-categories li.lifestyle a{border-bottom-color:#d8bfd8}header .navbar-default #menu-categories li.quizzes .icon:before{content:"\ea09"}header .navbar-default #menu-categories li.quizzes a{border-bottom-color:#e85d10}aside .search{display:block;padding:8px 90px 8px 37px}aside .search .search-input,aside .search .search-submit{display:block;font-size:.875em;height:34px;line-height:20px;padding:4px 10px}aside .search .search-input{width:100%;color:#e85d10;font-style:italic;margin-left:0;margin-bottom:0}aside .search .search-submit{position:absolute;top:8px;right:15px;width:70px;background-color:#e85d10;color:#fff;border:0}body{padding-top:180px}.navbar-toggle{display:none}}@media (min-width:1200px){.col-lg-3,.col-lg-9{float:left}.col-lg-9{width:75%}.col-lg-3{width:25%}.hidden-lg{display:none!important}}@media (max-width:767px){.hidden-xs{display:none!important}#moove_gdpr_cookie_modal li button .gdpr-svg-icon svg{height:25px}}@media (min-width:768px) and (max-width:991px){.hidden-sm{display:none!important}}@media (min-width:992px) and (max-width:1199px){.hidden-md{display:none!important}}@media only screen and (max-width:480px){a#scroll-to-top{right:0;bottom:0}}@media screen and (max-width:767px) and (orientation:landscape){#moove_gdpr_cookie_modal{background:0 0;border-radius:5px}}img.lazy{display:none}</style><link rel="preload" href="https://web.archive.org/web/20220129013222/https://www.adducation.info/wp-content/themes/taschenhirn-2015/lib/bootstrap-3.3.7/less/bootstrap.css" as="style" onload="this.rel='stylesheet'"><noscript><link rel="stylesheet" href="https://web.archive.org/web/20220129013222cs_/https://www.adducation.info/wp-content/themes/taschenhirn-2015/lib/bootstrap-3.3.7/less/bootstrap.css"></noscript> <link rel="apple-touch-icon" sizes="180x180" href="/web/20220129013222im_/https://www.adducation.info/apple-touch-icon.png"> <link rel="icon" type="image/png" sizes="32x32" href="/web/20220129013222im_/https://www.adducation.info/favicon-32x32.png"> <link rel="icon" type="image/png" sizes="16x16" href="/web/20220129013222im_/https://www.adducation.info/favicon-16x16.png"> <link rel="manifest" href="/web/20220129013222/https://www.adducation.info/site.webmanifest"> <meta name="viewport" content="width=device-width, maximum-scale=1"> <script async>try{!function(e,t,n,o,i,r){function a(){r("scroll",a),r("mouseover",a),r("touchstart",a,{passive:!0}),s()}function s(t){for(o=e.getElementsByTagName("script")[t=0],ress_js=d;n[t];)d(n[t++]);n=[]}function d(t,n){e.getElementById(t)||(n=e.createElement("script"),n.src=n.id=t,n.async=!0,o.parentNode.insertBefore(n,o))}ress_js=n.push.bind(n),i=t.addEventListener,r=t.removeEventListener,i&&"complete"!==e.readyState?(i("load",function(){setTimeout(a,5500)}),i("scroll",a),i("mousemove",a),i("touchstart",a)):s()}(document,window,[])}catch(e){console.log(e)}try{ress_js("https://web.archive.org/web/20220129013222/https://pagead2.googlesyndication.com/pagead/js/adsbygoogle.js"); }catch(e){console.log(e)}</script> <meta data-name="wpacu-delimiter" data-content="ASSET CLEANUP CRITICAL CSS"/><style type="text/css"> table.quiz_leaderboard_wrapper{width: 100%;border-collapse: collapse;border-spacing: 0;border: 0;color: #212529;} table.quiz_leaderboard_wrapper tr{} table.quiz_leaderboard_wrapper tr:nth-child(even) th, table.quiz_leaderboard_wrapper tr:nth-child(even) td{background: #dee2e6;} table.quiz_leaderboard_wrapper th, table.quiz_leaderboard_wrapper td{font-size: 14px;font-weight: normal;line-height: 20px;text-align: center;padding: .5rem;border: 1px solid #ccc;} table.quiz_leaderboard_wrapper th{font-size: 14px;font-weight: bold;line-height: 20px;background: #454d55;color: #FFF;} ol.quiz_leaderboard_wrapper{display: inline-block;background: #454d55;max-width: 100%;box-sizing: border-box;color: #FFF;font-size: 16px;border-radius: 6px;list-style-position: inside;padding: 15px 20px;margin: 0;} ol.quiz_leaderboard_wrapper li{padding: 2px 0;} .quiz_graph_wrapper ul.mlw_shortcode_bargraph{list-style: none;padding: 10px 0;margin: 0;width: 560px;} .quiz_graph_wrapper ul.mlw_shortcode_bargraph li{background: ;color: ;border-radius: 2px;font-style: italic;font-weight: bolder;font-size: 14px;line-height: 20px;padding: 5px 10px;margin-bottom: 5px;} </style><meta name="wpacu-generator" content="ASSET CLEANUP SCRIPTS PRELOADS"><link rel="preload" as="font" href="/web/20220129013222/https://www.adducation.info/wp-content/plugins/footable/css/fonts/footable.woff" data-wpacu-preload-font="1" crossorigin> <title>≡ Irrational Numbers List 7 Cool Constants, Number Types FAQ</title> <meta name="description" content="List of all Irrational numbers with definitions in laymans terms and accurate values for constants to enter into calculators. Number types explained."/> <meta name="robots" content="follow, index, max-snippet:-1, max-video-preview:-1, max-image-preview:large"/> <link rel="canonical" href="https://web.archive.org/web/20220129013222/https://www.adducation.info/general-knowledge-science-technology/irrational-numbers/"> <meta property="og:locale" content="en_US"/> <meta property="og:type" content="article"/> <meta property="og:title" content="≡ Irrational Numbers List 7 Cool Constants, Number Types FAQ"/> <meta property="og:description" content="List of all Irrational numbers with definitions in laymans terms and accurate values for constants to enter into calculators. Number types explained."/> <meta property="og:url" content="https://web.archive.org/web/20220129013222/https://www.adducation.info/general-knowledge-science-technology/irrational-numbers/"/> <meta property="og:site_name" content="Adducation"/> <meta property="article:publisher" content="https://www.facebook.com/AdducationGeneralKnowledge/"/> <meta property="og:updated_time" content="2021-03-02T10:22:20+00:00"/> <meta property="og:image" content="https://web.archive.org/web/20220129013222im_/https://www.adducation.info/wp-content/uploads/2019/03/irrational-numbers-1044x200-prs.jpg"/> <meta property="og:image:secure_url" content="https://www.adducation.info/wp-content/uploads/2019/03/irrational-numbers-1044x200-prs.jpg"/> <meta property="og:image:width" content="1044"/> <meta property="og:image:height" content="200"/> <meta property="og:image:alt" content="irrational numbers"/> <meta property="og:image:type" content="image/jpeg"/> <meta name="twitter:card" content="summary_large_image"/> <meta name="twitter:title" content="≡ Irrational Numbers List 7 Cool Constants, Number Types FAQ"/> <meta name="twitter:description" content="List of all Irrational numbers with definitions in laymans terms and accurate values for constants to enter into calculators. Number types explained."/> <meta name="twitter:site" content="@myadducation"/> <meta name="twitter:creator" content="@myadducation"/> <meta name="twitter:image" content="https://web.archive.org/web/20220129013222im_/https://www.adducation.info/wp-content/uploads/2019/03/irrational-numbers-1044x200-prs.jpg"/> <meta name="twitter:label1" content="Time to read"/> <meta name="twitter:data1" content="7 minutes"/> <link rel="alternate" type="application/rss+xml" title="Adducation » Irrational Numbers π Comments Feed" href="https://web.archive.org/web/20220129013222/https://www.adducation.info/general-knowledge-science-technology/irrational-numbers/feed/"> <style type="text/css"> ul,ol {padding-left:1.0em} </style><style id="global-styles-inline-css" type="text/css"> body{--wp--preset--color--black: #000000;--wp--preset--color--cyan-bluish-gray: #abb8c3;--wp--preset--color--white: #ffffff;--wp--preset--color--pale-pink: #f78da7;--wp--preset--color--vivid-red: #cf2e2e;--wp--preset--color--luminous-vivid-orange: #ff6900;--wp--preset--color--luminous-vivid-amber: #fcb900;--wp--preset--color--light-green-cyan: #7bdcb5;--wp--preset--color--vivid-green-cyan: #00d084;--wp--preset--color--pale-cyan-blue: #8ed1fc;--wp--preset--color--vivid-cyan-blue: #0693e3;--wp--preset--color--vivid-purple: #9b51e0;--wp--preset--gradient--vivid-cyan-blue-to-vivid-purple: linear-gradient(135deg,rgba(6,147,227,1) 0%,rgb(155,81,224) 100%);--wp--preset--gradient--light-green-cyan-to-vivid-green-cyan: linear-gradient(135deg,rgb(122,220,180) 0%,rgb(0,208,130) 100%);--wp--preset--gradient--luminous-vivid-amber-to-luminous-vivid-orange: linear-gradient(135deg,rgba(252,185,0,1) 0%,rgba(255,105,0,1) 100%);--wp--preset--gradient--luminous-vivid-orange-to-vivid-red: linear-gradient(135deg,rgba(255,105,0,1) 0%,rgb(207,46,46) 100%);--wp--preset--gradient--very-light-gray-to-cyan-bluish-gray: linear-gradient(135deg,rgb(238,238,238) 0%,rgb(169,184,195) 100%);--wp--preset--gradient--cool-to-warm-spectrum: linear-gradient(135deg,rgb(74,234,220) 0%,rgb(151,120,209) 20%,rgb(207,42,186) 40%,rgb(238,44,130) 60%,rgb(251,105,98) 80%,rgb(254,248,76) 100%);--wp--preset--gradient--blush-light-purple: linear-gradient(135deg,rgb(255,206,236) 0%,rgb(152,150,240) 100%);--wp--preset--gradient--blush-bordeaux: linear-gradient(135deg,rgb(254,205,165) 0%,rgb(254,45,45) 50%,rgb(107,0,62) 100%);--wp--preset--gradient--luminous-dusk: linear-gradient(135deg,rgb(255,203,112) 0%,rgb(199,81,192) 50%,rgb(65,88,208) 100%);--wp--preset--gradient--pale-ocean: linear-gradient(135deg,rgb(255,245,203) 0%,rgb(182,227,212) 50%,rgb(51,167,181) 100%);--wp--preset--gradient--electric-grass: linear-gradient(135deg,rgb(202,248,128) 0%,rgb(113,206,126) 100%);--wp--preset--gradient--midnight: linear-gradient(135deg,rgb(2,3,129) 0%,rgb(40,116,252) 100%);--wp--preset--duotone--dark-grayscale: url('/web/20220129013222im_/https://www.adducation.info/general-knowledge-science-technology/irrational-numbers/#wp-duotone-dark-grayscale');--wp--preset--duotone--grayscale: url('/web/20220129013222im_/https://www.adducation.info/general-knowledge-science-technology/irrational-numbers/#wp-duotone-grayscale');--wp--preset--duotone--purple-yellow: url('/web/20220129013222im_/https://www.adducation.info/general-knowledge-science-technology/irrational-numbers/#wp-duotone-purple-yellow');--wp--preset--duotone--blue-red: url('/web/20220129013222im_/https://www.adducation.info/general-knowledge-science-technology/irrational-numbers/#wp-duotone-blue-red');--wp--preset--duotone--midnight: url('/web/20220129013222im_/https://www.adducation.info/general-knowledge-science-technology/irrational-numbers/#wp-duotone-midnight');--wp--preset--duotone--magenta-yellow: url('/web/20220129013222im_/https://www.adducation.info/general-knowledge-science-technology/irrational-numbers/#wp-duotone-magenta-yellow');--wp--preset--duotone--purple-green: url('/web/20220129013222im_/https://www.adducation.info/general-knowledge-science-technology/irrational-numbers/#wp-duotone-purple-green');--wp--preset--duotone--blue-orange: url('/web/20220129013222im_/https://www.adducation.info/general-knowledge-science-technology/irrational-numbers/#wp-duotone-blue-orange');--wp--preset--font-size--small: 13px;--wp--preset--font-size--medium: 20px;--wp--preset--font-size--large: 36px;--wp--preset--font-size--x-large: 42px;}.has-black-color{color: var(--wp--preset--color--black) !important;}.has-cyan-bluish-gray-color{color: var(--wp--preset--color--cyan-bluish-gray) !important;}.has-white-color{color: var(--wp--preset--color--white) !important;}.has-pale-pink-color{color: var(--wp--preset--color--pale-pink) !important;}.has-vivid-red-color{color: var(--wp--preset--color--vivid-red) !important;}.has-luminous-vivid-orange-color{color: var(--wp--preset--color--luminous-vivid-orange) !important;}.has-luminous-vivid-amber-color{color: var(--wp--preset--color--luminous-vivid-amber) !important;}.has-light-green-cyan-color{color: var(--wp--preset--color--light-green-cyan) !important;}.has-vivid-green-cyan-color{color: var(--wp--preset--color--vivid-green-cyan) !important;}.has-pale-cyan-blue-color{color: var(--wp--preset--color--pale-cyan-blue) !important;}.has-vivid-cyan-blue-color{color: var(--wp--preset--color--vivid-cyan-blue) !important;}.has-vivid-purple-color{color: var(--wp--preset--color--vivid-purple) !important;}.has-black-background-color{background-color: var(--wp--preset--color--black) !important;}.has-cyan-bluish-gray-background-color{background-color: var(--wp--preset--color--cyan-bluish-gray) !important;}.has-white-background-color{background-color: var(--wp--preset--color--white) !important;}.has-pale-pink-background-color{background-color: var(--wp--preset--color--pale-pink) !important;}.has-vivid-red-background-color{background-color: var(--wp--preset--color--vivid-red) !important;}.has-luminous-vivid-orange-background-color{background-color: var(--wp--preset--color--luminous-vivid-orange) !important;}.has-luminous-vivid-amber-background-color{background-color: var(--wp--preset--color--luminous-vivid-amber) !important;}.has-light-green-cyan-background-color{background-color: var(--wp--preset--color--light-green-cyan) !important;}.has-vivid-green-cyan-background-color{background-color: var(--wp--preset--color--vivid-green-cyan) !important;}.has-pale-cyan-blue-background-color{background-color: var(--wp--preset--color--pale-cyan-blue) !important;}.has-vivid-cyan-blue-background-color{background-color: var(--wp--preset--color--vivid-cyan-blue) !important;}.has-vivid-purple-background-color{background-color: var(--wp--preset--color--vivid-purple) !important;}.has-black-border-color{border-color: var(--wp--preset--color--black) !important;}.has-cyan-bluish-gray-border-color{border-color: var(--wp--preset--color--cyan-bluish-gray) !important;}.has-white-border-color{border-color: var(--wp--preset--color--white) !important;}.has-pale-pink-border-color{border-color: var(--wp--preset--color--pale-pink) !important;}.has-vivid-red-border-color{border-color: var(--wp--preset--color--vivid-red) !important;}.has-luminous-vivid-orange-border-color{border-color: var(--wp--preset--color--luminous-vivid-orange) !important;}.has-luminous-vivid-amber-border-color{border-color: var(--wp--preset--color--luminous-vivid-amber) !important;}.has-light-green-cyan-border-color{border-color: var(--wp--preset--color--light-green-cyan) !important;}.has-vivid-green-cyan-border-color{border-color: var(--wp--preset--color--vivid-green-cyan) !important;}.has-pale-cyan-blue-border-color{border-color: var(--wp--preset--color--pale-cyan-blue) !important;}.has-vivid-cyan-blue-border-color{border-color: var(--wp--preset--color--vivid-cyan-blue) !important;}.has-vivid-purple-border-color{border-color: var(--wp--preset--color--vivid-purple) !important;}.has-vivid-cyan-blue-to-vivid-purple-gradient-background{background: var(--wp--preset--gradient--vivid-cyan-blue-to-vivid-purple) !important;}.has-light-green-cyan-to-vivid-green-cyan-gradient-background{background: var(--wp--preset--gradient--light-green-cyan-to-vivid-green-cyan) !important;}.has-luminous-vivid-amber-to-luminous-vivid-orange-gradient-background{background: var(--wp--preset--gradient--luminous-vivid-amber-to-luminous-vivid-orange) !important;}.has-luminous-vivid-orange-to-vivid-red-gradient-background{background: var(--wp--preset--gradient--luminous-vivid-orange-to-vivid-red) !important;}.has-very-light-gray-to-cyan-bluish-gray-gradient-background{background: var(--wp--preset--gradient--very-light-gray-to-cyan-bluish-gray) !important;}.has-cool-to-warm-spectrum-gradient-background{background: var(--wp--preset--gradient--cool-to-warm-spectrum) !important;}.has-blush-light-purple-gradient-background{background: var(--wp--preset--gradient--blush-light-purple) !important;}.has-blush-bordeaux-gradient-background{background: var(--wp--preset--gradient--blush-bordeaux) !important;}.has-luminous-dusk-gradient-background{background: var(--wp--preset--gradient--luminous-dusk) !important;}.has-pale-ocean-gradient-background{background: var(--wp--preset--gradient--pale-ocean) !important;}.has-electric-grass-gradient-background{background: var(--wp--preset--gradient--electric-grass) !important;}.has-midnight-gradient-background{background: var(--wp--preset--gradient--midnight) !important;}.has-small-font-size{font-size: var(--wp--preset--font-size--small) !important;}.has-medium-font-size{font-size: var(--wp--preset--font-size--medium) !important;}.has-large-font-size{font-size: var(--wp--preset--font-size--large) !important;}.has-x-large-font-size{font-size: var(--wp--preset--font-size--x-large) !important;} </style> <link data-wpacu-style-handle="jquery-smooth-scroll" rel="preload" id="jquery-smooth-scroll-css" href="https://web.archive.org/web/20220129013222/https://www.adducation.info/wp-content/plugins/jquery-smooth-scroll/css/style.css?ver=b810a84b419a50c6b1e77a7966aa486d" type="text/css" media="all" as="style" onload="this.rel='stylesheet'"><noscript><link data-wpacu-style-handle="jquery-smooth-scroll" rel="stylesheet" id="jquery-smooth-scroll-css" href="https://web.archive.org/web/20220129013222cs_/https://www.adducation.info/wp-content/plugins/jquery-smooth-scroll/css/style.css?ver=b810a84b419a50c6b1e77a7966aa486d" type="text/css" media="all"></noscript> <link data-wpacu-style-handle="style" rel="preload" id="style-css" href="https://web.archive.org/web/20220129013222/https://www.adducation.info/wp-content/uploads/wp-less/taschenhirn-2015/style-26fd4f4977.css" type="text/css" media="all" as="style" onload="this.rel='stylesheet'"><noscript><link data-wpacu-style-handle="style" rel="stylesheet" id="style-css" href="https://web.archive.org/web/20220129013222cs_/https://www.adducation.info/wp-content/uploads/wp-less/taschenhirn-2015/style-26fd4f4977.css" type="text/css" media="all"></noscript> <link data-wpacu-style-handle="footable-core-min" rel="preload" id="footable-core-min-css" href="https://web.archive.org/web/20220129013222/https://www.adducation.info/wp-content/plugins/footable/css/footable.core.min.css?ver=0.3.1" type="text/css" media="all" as="style" onload="this.rel='stylesheet'"><noscript><link data-wpacu-style-handle="footable-core-min" rel="stylesheet" id="footable-core-min-css" href="https://web.archive.org/web/20220129013222cs_/https://www.adducation.info/wp-content/plugins/footable/css/footable.core.min.css?ver=0.3.1" type="text/css" media="all"></noscript> <link data-wpacu-style-handle="footable-standalone-min" rel="preload" id="footable-standalone-min-css" href="https://web.archive.org/web/20220129013222/https://www.adducation.info/wp-content/plugins/footable/css/footable.standalone.min.css?ver=0.3.1" type="text/css" media="all" as="style" onload="this.rel='stylesheet'"><noscript><link data-wpacu-style-handle="footable-standalone-min" rel="stylesheet" id="footable-standalone-min-css" href="https://web.archive.org/web/20220129013222cs_/https://www.adducation.info/wp-content/plugins/footable/css/footable.standalone.min.css?ver=0.3.1" type="text/css" media="all"></noscript> <link data-wpacu-style-handle="moove_gdpr_frontend" rel="preload" id="moove_gdpr_frontend-css" href="https://web.archive.org/web/20220129013222/https://www.adducation.info/wp-content/plugins/gdpr-cookie-compliance/dist/styles/gdpr-main-nf.css?ver=4.7.3" type="text/css" media="all" as="style" onload="this.rel='stylesheet'"><noscript><link data-wpacu-style-handle="moove_gdpr_frontend" rel="stylesheet" id="moove_gdpr_frontend-css" href="https://web.archive.org/web/20220129013222cs_/https://www.adducation.info/wp-content/plugins/gdpr-cookie-compliance/dist/styles/gdpr-main-nf.css?ver=4.7.3" type="text/css" media="all"></noscript> <style id="moove_gdpr_frontend-inline-css" type="text/css"> #moove_gdpr_cookie_modal .moove-gdpr-modal-content .moove-gdpr-tab-main h3.tab-title, #moove_gdpr_cookie_modal .moove-gdpr-modal-content .moove-gdpr-tab-main span.tab-title, #moove_gdpr_cookie_modal .moove-gdpr-modal-content .moove-gdpr-modal-left-content #moove-gdpr-menu li a, #moove_gdpr_cookie_modal .moove-gdpr-modal-content .moove-gdpr-modal-left-content #moove-gdpr-menu li button, #moove_gdpr_cookie_modal .moove-gdpr-modal-content .moove-gdpr-modal-left-content .moove-gdpr-branding-cnt a, #moove_gdpr_cookie_modal .moove-gdpr-modal-content .moove-gdpr-modal-footer-content .moove-gdpr-button-holder a.mgbutton, #moove_gdpr_cookie_modal .moove-gdpr-modal-content .moove-gdpr-modal-footer-content .moove-gdpr-button-holder button.mgbutton, #moove_gdpr_cookie_modal .cookie-switch .cookie-slider:after, #moove_gdpr_cookie_modal .cookie-switch .slider:after, #moove_gdpr_cookie_modal .switch .cookie-slider:after, #moove_gdpr_cookie_modal .switch .slider:after, #moove_gdpr_cookie_info_bar .moove-gdpr-info-bar-container .moove-gdpr-info-bar-content p, #moove_gdpr_cookie_info_bar .moove-gdpr-info-bar-container .moove-gdpr-info-bar-content p a, #moove_gdpr_cookie_info_bar .moove-gdpr-info-bar-container .moove-gdpr-info-bar-content a.mgbutton, #moove_gdpr_cookie_info_bar .moove-gdpr-info-bar-container .moove-gdpr-info-bar-content button.mgbutton, #moove_gdpr_cookie_modal .moove-gdpr-modal-content .moove-gdpr-tab-main .moove-gdpr-tab-main-content h1, #moove_gdpr_cookie_modal .moove-gdpr-modal-content .moove-gdpr-tab-main .moove-gdpr-tab-main-content h2, #moove_gdpr_cookie_modal .moove-gdpr-modal-content .moove-gdpr-tab-main .moove-gdpr-tab-main-content h3, #moove_gdpr_cookie_modal .moove-gdpr-modal-content .moove-gdpr-tab-main .moove-gdpr-tab-main-content h4, #moove_gdpr_cookie_modal .moove-gdpr-modal-content .moove-gdpr-tab-main .moove-gdpr-tab-main-content h5, #moove_gdpr_cookie_modal .moove-gdpr-modal-content .moove-gdpr-tab-main .moove-gdpr-tab-main-content h6, #moove_gdpr_cookie_modal .moove-gdpr-modal-content.moove_gdpr_modal_theme_v2 .moove-gdpr-modal-title .tab-title, #moove_gdpr_cookie_modal .moove-gdpr-modal-content.moove_gdpr_modal_theme_v2 .moove-gdpr-tab-main h3.tab-title, #moove_gdpr_cookie_modal .moove-gdpr-modal-content.moove_gdpr_modal_theme_v2 .moove-gdpr-tab-main span.tab-title, #moove_gdpr_cookie_modal .moove-gdpr-modal-content.moove_gdpr_modal_theme_v2 .moove-gdpr-branding-cnt a { font-weight: inherit } #moove_gdpr_cookie_modal,#moove_gdpr_cookie_info_bar,.gdpr_cookie_settings_shortcode_content{font-family:'Open Sans',sans-serif}#moove_gdpr_save_popup_settings_button{background-color:#373737;color:#fff}#moove_gdpr_save_popup_settings_button:hover{background-color:#000}#moove_gdpr_cookie_info_bar .moove-gdpr-info-bar-container .moove-gdpr-info-bar-content a.mgbutton,#moove_gdpr_cookie_info_bar .moove-gdpr-info-bar-container .moove-gdpr-info-bar-content button.mgbutton{background-color:#009999}#moove_gdpr_cookie_modal .moove-gdpr-modal-content .moove-gdpr-modal-footer-content .moove-gdpr-button-holder a.mgbutton,#moove_gdpr_cookie_modal .moove-gdpr-modal-content .moove-gdpr-modal-footer-content .moove-gdpr-button-holder button.mgbutton,.gdpr_cookie_settings_shortcode_content .gdpr-shr-button.button-green{background-color:#009999;border-color:#009999}#moove_gdpr_cookie_modal .moove-gdpr-modal-content .moove-gdpr-modal-footer-content .moove-gdpr-button-holder a.mgbutton:hover,#moove_gdpr_cookie_modal .moove-gdpr-modal-content .moove-gdpr-modal-footer-content .moove-gdpr-button-holder button.mgbutton:hover,.gdpr_cookie_settings_shortcode_content .gdpr-shr-button.button-green:hover{background-color:#fff;color:#009999}#moove_gdpr_cookie_modal .moove-gdpr-modal-content .moove-gdpr-modal-close i,#moove_gdpr_cookie_modal .moove-gdpr-modal-content .moove-gdpr-modal-close span.gdpr-icon{background-color:#009999;border:1px solid #009999}#moove_gdpr_cookie_info_bar span.change-settings-button.focus-g{-webkit-box-shadow:0 0 1px 3px #009999;-moz-box-shadow:0 0 1px 3px #009999;box-shadow:0 0 1px 3px #009999}#moove_gdpr_cookie_modal .moove-gdpr-modal-content .moove-gdpr-modal-close i:hover,#moove_gdpr_cookie_modal .moove-gdpr-modal-content .moove-gdpr-modal-close span.gdpr-icon:hover,#moove_gdpr_cookie_info_bar span[data-href]>u.change-settings-button{color:#009999}#moove_gdpr_cookie_modal .moove-gdpr-modal-content .moove-gdpr-modal-left-content #moove-gdpr-menu li.menu-item-selected a span.gdpr-icon,#moove_gdpr_cookie_modal .moove-gdpr-modal-content .moove-gdpr-modal-left-content #moove-gdpr-menu li.menu-item-selected button span.gdpr-icon{color:inherit}#moove_gdpr_cookie_modal .moove-gdpr-modal-content .moove-gdpr-modal-left-content #moove-gdpr-menu li a span.gdpr-icon,#moove_gdpr_cookie_modal .moove-gdpr-modal-content .moove-gdpr-modal-left-content #moove-gdpr-menu li button span.gdpr-icon{color:inherit}#moove_gdpr_cookie_modal .gdpr-acc-link{line-height:0;font-size:0;color:transparent;position:absolute}#moove_gdpr_cookie_modal .moove-gdpr-modal-content .moove-gdpr-modal-close:hover i,#moove_gdpr_cookie_modal .moove-gdpr-modal-content .moove-gdpr-modal-left-content #moove-gdpr-menu li a,#moove_gdpr_cookie_modal .moove-gdpr-modal-content .moove-gdpr-modal-left-content #moove-gdpr-menu li button,#moove_gdpr_cookie_modal .moove-gdpr-modal-content .moove-gdpr-modal-left-content #moove-gdpr-menu li button i,#moove_gdpr_cookie_modal .moove-gdpr-modal-content .moove-gdpr-modal-left-content #moove-gdpr-menu li a i,#moove_gdpr_cookie_modal .moove-gdpr-modal-content .moove-gdpr-tab-main .moove-gdpr-tab-main-content a:hover,#moove_gdpr_cookie_info_bar.moove-gdpr-dark-scheme .moove-gdpr-info-bar-container .moove-gdpr-info-bar-content a.mgbutton:hover,#moove_gdpr_cookie_info_bar.moove-gdpr-dark-scheme .moove-gdpr-info-bar-container .moove-gdpr-info-bar-content button.mgbutton:hover,#moove_gdpr_cookie_info_bar.moove-gdpr-dark-scheme .moove-gdpr-info-bar-container .moove-gdpr-info-bar-content a:hover,#moove_gdpr_cookie_info_bar.moove-gdpr-dark-scheme .moove-gdpr-info-bar-container .moove-gdpr-info-bar-content button:hover,#moove_gdpr_cookie_info_bar.moove-gdpr-dark-scheme .moove-gdpr-info-bar-container .moove-gdpr-info-bar-content span.change-settings-button:hover,#moove_gdpr_cookie_info_bar.moove-gdpr-dark-scheme .moove-gdpr-info-bar-container .moove-gdpr-info-bar-content u.change-settings-button:hover,#moove_gdpr_cookie_info_bar span[data-href]>u.change-settings-button,#moove_gdpr_cookie_info_bar.moove-gdpr-dark-scheme .moove-gdpr-info-bar-container .moove-gdpr-info-bar-content a.mgbutton.focus-g,#moove_gdpr_cookie_info_bar.moove-gdpr-dark-scheme .moove-gdpr-info-bar-container .moove-gdpr-info-bar-content button.mgbutton.focus-g,#moove_gdpr_cookie_info_bar.moove-gdpr-dark-scheme .moove-gdpr-info-bar-container .moove-gdpr-info-bar-content a.focus-g,#moove_gdpr_cookie_info_bar.moove-gdpr-dark-scheme .moove-gdpr-info-bar-container .moove-gdpr-info-bar-content button.focus-g,#moove_gdpr_cookie_info_bar.moove-gdpr-dark-scheme .moove-gdpr-info-bar-container .moove-gdpr-info-bar-content span.change-settings-button.focus-g,#moove_gdpr_cookie_info_bar.moove-gdpr-dark-scheme .moove-gdpr-info-bar-container .moove-gdpr-info-bar-content u.change-settings-button.focus-g{color:#009999}#moove_gdpr_cookie_modal.gdpr_lightbox-hide{display:none}#moove_gdpr_cookie_info_bar .moove-gdpr-info-bar-container .moove-gdpr-info-bar-content a.mgbutton,#moove_gdpr_cookie_info_bar .moove-gdpr-info-bar-container .moove-gdpr-info-bar-content button.mgbutton,#moove_gdpr_cookie_modal .moove-gdpr-modal-content .moove-gdpr-modal-footer-content .moove-gdpr-button-holder a.mgbutton,#moove_gdpr_cookie_modal .moove-gdpr-modal-content .moove-gdpr-modal-footer-content .moove-gdpr-button-holder button.mgbutton,.gdpr-shr-button,#moove_gdpr_cookie_info_bar .moove-gdpr-infobar-close-btn{border-radius:0} </style> <script data-wpacu-script-handle="jquery" type="text/javascript" src="/web/20220129013222js_/https://www.adducation.info/s/loaded/e63bb385ef2f.js" id="jquery-js"></script> <script data-wpacu-script-handle="footable-min" type="text/javascript" defer="defer" src="/web/20220129013222js_/https://www.adducation.info/wp-content/plugins/footable/js/footable.min.js?ver=0.3.1" id="footable-min-js"></script> <script data-wpacu-script-handle="footable-sort-min" type="text/javascript" defer="defer" src="/web/20220129013222js_/https://www.adducation.info/wp-content/plugins/footable/js/footable.sort.min.js?ver=0.3.1" id="footable-sort-min-js"></script> <script data-wpacu-script-handle="footable-filter-min" type="text/javascript" defer="defer" src="/web/20220129013222js_/https://www.adducation.info/wp-content/plugins/footable/js/footable.filter.min.js?ver=0.3.1" id="footable-filter-min-js"></script> <meta name="wpacu-generator" content="ASSET CLEANUP STYLES MOVED FROM BODY TO HEAD"><link rel="icon" href="https://web.archive.org/web/20220129013222im_/https://www.adducation.info/wp-content/uploads/2020/07/cropped-android-chrome-512x512-1-32x32.png" sizes="32x32"> <link rel="icon" href="https://web.archive.org/web/20220129013222im_/https://www.adducation.info/wp-content/uploads/2020/07/cropped-android-chrome-512x512-1-192x192.png" sizes="192x192"> <link rel="apple-touch-icon" href="https://web.archive.org/web/20220129013222im_/https://www.adducation.info/wp-content/uploads/2020/07/cropped-android-chrome-512x512-1-180x180.png"> <meta name="msapplication-TileImage" content="https://www.adducation.info/wp-content/uploads/2020/07/cropped-android-chrome-512x512-1-270x270.png"/> <style>img.lazy,iframe.lazy{display:none}</style><script>try{ (function () { window.siqConfig = { engineKey: "c3ac10e170a440ab37ae605982b5d3e7" }; window.siqConfig.baseUrl = "//web.archive.org/web/20220129013222/https://pub.searchiq.co/"; var script = document.createElement("SCRIPT"); script.src = window.siqConfig.baseUrl + 'js/container/siq-container-2.js?cb=' + (Math.floor(Math.random()*999999)) + '&engineKey=' + siqConfig.engineKey; script.id = "siq-container"; document.getElementsByTagName("HEAD")[0].appendChild(script); })()}catch(e){console.log(e)}try{ress_js("https://web.archive.org/web/20220129013222/https://www.googletagmanager.com/gtag/js?id=UA-6475718-4"); }catch(e){console.log(e)}try{ window.dataLayer = window.dataLayer || []; function gtag(){dataLayer.push(arguments);} gtag('js', new Date());gtag('config', 'UA-6475718-4', {"anonymize_ip":true,"allow_display_features":false,"link_attribution":false})}catch(e){console.log(e)}try{/* FooTable init code */ var $FOOTABLE = $FOOTABLE || {}; (function( $FOOTABLE, $, undefined ) { jQuery.fn.attrAppendWithComma=function(a,b){var c;return this.each(function(){c=$(this),void 0!==c.attr(a)&&""!=c.attr(a)?c.attr(a,c.attr(a)+","+b):c.attr(a,b)})};jQuery.fn.footableAttr=function(a,b){return this.each(function(){var c=$(this);c.data("auto-columns")!==!1&&(c.find("thead th:gt("+a+")").attrAppendWithComma("data-hide","tablet"),c.find("thead th:gt("+b+")").attrAppendWithComma("data-hide","phone"))})},jQuery.fn.footableFilter=function(a){return this.each(function(){var b=$(this);b.data("filter")||b.data("filter")===!1||b.data("filter-text-only","true").before('<div class="footable-filter-container"><input placeholder="'+a+'" style="float:right" type="text" class="footable-filter" /></div>')})},jQuery.fn.footablePager=function(){return this.each(function(){var a=$(this);if(a.data("page")!==!1){var b=$('<tfoot class="hide-if-no-paging"><tr><td><div class="pagination pagination-centered"></div></td></tr></tfoot>');b.find("td").attr("colspan",a.find("thead th").length),a.find("tbody:last").after(b)}})}; $FOOTABLE.init = function() { $(".dataList") .footableFilter("Filter table...") .footablePager() .footable( { breakpoints: { phone: 384, tablet: 768 } }); }; }( $FOOTABLE, jQuery )); jQuery(function($) { $FOOTABLE.init(); })}catch(e){console.log(e)}</script></head> <body class="page-template-default page page-id-23013 page-child parent-pageid-21 irrational-numbers general-knowledge-science-technology"> <header> <div class="navbar navbar-default navbar-top" role="navigation"> <div class="container-fluid"> <div class="row"> <div class="col-sm-12 col-md-4 col-lg-3"> <div class="navbar-header"> <div class="row"> <div class="col-xs-8"> <a class="navbar-brand" href="/web/20220129013222/https://www.adducation.info/"><img src="/web/20220129013222im_/https://www.adducation.info/wp-content/themes/taschenhirn-2015/img/logo.png" width="308" height="80" alt="Adducation general knowledge lists"></a> </div> <div class="col-xs-4"> <button type="button" class="navbar-toggle collapsed" data-toggle="collapse" data-target="#main-nav-collapse" aria-expanded="false" aria-controls="navbar"> <span class="sr-only">Toggle navigation</span> <span class="menu-label">▼ Menu</span> </button> </div> </div> </div> </div> <div class="col-sm-12 col-md-8 col-lg-9"> <div class="clearfix"> <div class="pull-right" style="width: 100%"> <div class="clearfix"> <div class="menu-service-container"><ul id="menu-service" class="menu"><li id="menu-item-22466" class="taschenhirn menu-item menu-item-type-custom menu-item-object-custom menu-item-22466"><a rel="noopener noreferrer" href="https://web.archive.org/web/20220129013222/https://www.taschenhirn.de/">__</a></li> <li id="menu-item-18499" class="menu-item menu-item-type-post_type menu-item-object-page menu-item-18499"><a href="https://web.archive.org/web/20220129013222/https://www.adducation.info/news/">News</a></li> <li id="menu-item-14848" class="menu-item menu-item-type-post_type menu-item-object-page menu-item-14848"><a href="https://web.archive.org/web/20220129013222/https://www.adducation.info/support-adducation/">Support</a></li> <li id="menu-item-19453" class="menu-item menu-item-type-post_type menu-item-object-page menu-item-19453"><a href="https://web.archive.org/web/20220129013222/https://www.adducation.info/adducation-index/">A to Z</a></li> </ul></div> </div> <div class="clearfix"><div id="main-nav-collapse" class="collapse navbar-collapse"><ul id="menu-categories" class="nav navbar-nav"><li id="menu-item-25714" class="earth_space menu-item menu-item-type-post_type menu-item-object-page menu-item-25714"><a title="Earth & Space" href="https://web.archive.org/web/20220129013222/https://www.adducation.info/earth-general-knowledge/"><span class="text">Earth & Space</span><span class="icon"></span></a></li> <li id="menu-item-14075" class="mankind_nature menu-item menu-item-type-post_type menu-item-object-page menu-item-14075"><a title="Mankind & Nature" href="https://web.archive.org/web/20220129013222/https://www.adducation.info/mankind-nature-general-knowledge/"><span class="text">Mankind & Nature</span><span class="icon"></span></a></li> <li id="menu-item-14076" class="science_technology menu-item menu-item-type-post_type menu-item-object-page current-page-ancestor menu-item-14076"><a title="Science & Technology" href="https://web.archive.org/web/20220129013222/https://www.adducation.info/general-knowledge-science-technology/"><span class="text">Science & Technology</span><span class="icon"></span></a></li> <li id="menu-item-14077" class="travel_transport menu-item menu-item-type-post_type menu-item-object-page menu-item-14077"><a title="Travel and Transport" href="https://web.archive.org/web/20220129013222/https://www.adducation.info/general-knowledge-travel-and-transport/"><span class="text">Travel and Transport</span><span class="icon"></span></a></li> <li id="menu-item-14078" class="history menu-item menu-item-type-post_type menu-item-object-page menu-item-14078"><a title="History" href="https://web.archive.org/web/20220129013222/https://www.adducation.info/general-knowledge-history/"><span class="text">History</span><span class="icon"></span></a></li> <li id="menu-item-14079" class="politics menu-item menu-item-type-post_type menu-item-object-page menu-item-14079"><a title="Politics & Religion" href="https://web.archive.org/web/20220129013222/https://www.adducation.info/general-knowledge-politics-religion/"><span class="text">Politics & Religion</span><span class="icon"></span></a></li> <li id="menu-item-14080" class="literature menu-item menu-item-type-post_type menu-item-object-page menu-item-14080"><a title="Literature & Philosophy" href="https://web.archive.org/web/20220129013222/https://www.adducation.info/general-knowledge-literature-philosophy/"><span class="text">Literature & Philosophy</span><span class="icon"></span></a></li> <li id="menu-item-14081" class="art menu-item menu-item-type-post_type menu-item-object-page menu-item-14081"><a title="Art & Artists" href="https://web.archive.org/web/20220129013222/https://www.adducation.info/general-knowledge-art-artists/"><span class="text">Art & Artists</span><span class="icon"></span></a></li> <li id="menu-item-14082" class="classical_music menu-item menu-item-type-post_type menu-item-object-page menu-item-14082"><a title="Classical Music" href="https://web.archive.org/web/20220129013222/https://www.adducation.info/general-knowledge-classic-music/"><span class="text">Classical Music</span><span class="icon"></span></a></li> <li id="menu-item-14083" class="rock_pop menu-item menu-item-type-post_type menu-item-object-page menu-item-14083"><a title="Rock & Pop" href="https://web.archive.org/web/20220129013222/https://www.adducation.info/general-knowledge-rock-pop/"><span class="text">Rock & Pop</span><span class="icon"></span></a></li> <li id="menu-item-14084" class="movies_tv menu-item menu-item-type-post_type menu-item-object-page menu-item-14084"><a title="Movies and TV Shows" href="https://web.archive.org/web/20220129013222/https://www.adducation.info/general-knowledge-movies-tv/"><span class="text">Movies and TV Shows</span><span class="icon"></span></a></li> <li id="menu-item-14085" class="sport menu-item menu-item-type-post_type menu-item-object-page menu-item-14085"><a title="Sport" href="https://web.archive.org/web/20220129013222/https://www.adducation.info/general-knowledge-sport/"><span class="text">Sport</span><span class="icon"></span></a></li> <li id="menu-item-14086" class="football menu-item menu-item-type-post_type menu-item-object-page menu-item-14086"><a title="Football Facts" href="https://web.archive.org/web/20220129013222/https://www.adducation.info/general-knowledge-football/"><span class="text">Football Facts</span><span class="icon"></span></a></li> <li id="menu-item-14087" class="current_knowledge menu-item menu-item-type-post_type menu-item-object-page menu-item-14087"><a title="General Knowledge" href="https://web.archive.org/web/20220129013222/https://www.adducation.info/how-to-improve-your-knowledge/"><span class="text">General Knowledge</span><span class="icon"></span></a></li> <li id="menu-item-14088" class="lifestyle menu-item menu-item-type-post_type menu-item-object-page menu-item-14088"><a title="LifeStyle" href="https://web.archive.org/web/20220129013222/https://www.adducation.info/lifestyle/"><span class="text">LifeStyle</span><span class="icon"></span></a></li> <li id="menu-item-14843" class="quizzes menu-item menu-item-type-post_type menu-item-object-page menu-item-14843"><a title="QUIZ zone" href="https://web.archive.org/web/20220129013222/https://www.adducation.info/free-online-quizzes-general-knowledge/"><span class="text">QUIZ zone</span><span class="icon"></span></a></li> </ul></div></div> </div> </div> </div> </div> <div class="row hidden-sm hidden-xs hidden-md hidden-lg"> <div class="col-sm-12"> [et_social_follow icon_style="simple" icon_shape="rounded" icons_location="top" col_number="auto" outer_color="light"]<div class="menu-service-container"><ul id="menu-service-1" class="menu"><li class="taschenhirn menu-item menu-item-type-custom menu-item-object-custom menu-item-22466"><a rel="noopener noreferrer" href="https://web.archive.org/web/20220129013222/https://www.taschenhirn.de/">__</a></li> <li class="menu-item menu-item-type-post_type menu-item-object-page menu-item-18499"><a href="https://web.archive.org/web/20220129013222/https://www.adducation.info/news/">News</a></li> <li class="menu-item menu-item-type-post_type menu-item-object-page menu-item-14848"><a href="https://web.archive.org/web/20220129013222/https://www.adducation.info/support-adducation/">Support</a></li> <li class="menu-item menu-item-type-post_type menu-item-object-page menu-item-19453"><a href="https://web.archive.org/web/20220129013222/https://www.adducation.info/adducation-index/">A to Z</a></li> </ul></div> </div> </div> </div> </div> </header> <div id="ad-outer-widget"> <div id="custom_html-3" class="widget_text widget_custom_html"><div class="textwidget custom-html-widget"> <ins class="adsbygoogle" style="display:block" data-ad-client="ca-pub-2984269917033425" data-ad-slot="8391784834" data-ad-format="auto"></ins> <script> (adsbygoogle = window.adsbygoogle || []).push({}); </script></div></div></div> <div class="wrapper"> <div id="primary" class="content-area"> <main id="main" class="site-main" role="main"> <div class="container-fluid"> <div class="row"> <div class="col-sm-4 col-md-4 col-lg-3"> <aside class="sidebar" role="complementary"> <form class="search" method="get" action="https://web.archive.org/web/20220129013222/https://www.adducation.info/" role="search"> <input class="search-input" type="search" name="s" placeholder="Search..."> <button class="search-submit" type="submit" role="button">Search</button> </form> <h2 class="post_title"><a href="https://web.archive.org/web/20220129013222/https://www.adducation.info/general-knowledge-science-technology/">◀</a>Science & Technology<button type="button" class="subnavbar-toggle collapsed" data-toggle="collapse" data-target="#side-nav-collapse" aria-expanded="false" aria-controls="navbar"> <span class="sr-only">Toggle navigation</span> <span class="menu-label">▼ Lists</span> </button></h2> <nav id="side-nav-collapse" class="collapse navbar-collapse navigation sidebar general-knowledge-science-technology" role="navigation"> <ul id="leftmenu" class="B level2"><li class="page_item page-item-27457"><a href="https://web.archive.org/web/20220129013222/https://www.adducation.info/general-knowledge-science-technology/all-nobel-prize-winners/">All Nobel Prize Winners Ever 🏅</a></li><li class="page_item page-item-18577"><a href="https://web.archive.org/web/20220129013222/https://www.adducation.info/general-knowledge-science-technology/greatest-female-scientists/">Greatest Female Scientists A-Z 👩‍🔬</a></li><li class="page_item page-item-23264"><a href="https://web.archive.org/web/20220129013222/https://www.adducation.info/general-knowledge-science-technology/periodic-table/">Periodic Table of Elements 📄</a></li><li class="page_item page-item-4894"><a href="https://web.archive.org/web/20220129013222/https://www.adducation.info/general-knowledge-science-technology/chemical-elements/">Chemical Elements List 📃🧪</a></li><li class="page_item page-item-3594"><a href="https://web.archive.org/web/20220129013222/https://www.adducation.info/general-knowledge-science-technology/apollo-moon-landings/">Apollo Moon Landings 🚀🧑🏻‍🚀🌒</a></li><li class="page_item page-item-4216"><a href="https://web.archive.org/web/20220129013222/https://www.adducation.info/general-knowledge-science-technology/famous-doctors-physicians/">Famous Doctors & Physicians A-Z</a></li><li class="page_item page-item-25040"><a href="https://web.archive.org/web/20220129013222/https://www.adducation.info/general-knowledge-science-technology/famous-astronomers/">Famous Astronomers A-Z</a></li><li class="page_item page-item-24993"><a href="https://web.archive.org/web/20220129013222/https://www.adducation.info/general-knowledge-science-technology/greatest-mathematicians/">Greatest Mathematicians A-Z 🧮</a></li><li class="page_item page-item-22156"><a href="https://web.archive.org/web/20220129013222/https://www.adducation.info/general-knowledge-science-technology/physical-constants/">Fundamental Physical Constants 🧮</a></li><li class="page_item page-item-24992"><a href="https://web.archive.org/web/20220129013222/https://www.adducation.info/general-knowledge-science-technology/best-physicists/">Best Physicists A-Z ⚛️</a></li><li class="page_item page-item-11084"><a href="https://web.archive.org/web/20220129013222/https://www.adducation.info/general-knowledge-science-technology/nobel-prize-science-winners/">Nobel Prize Science Winners 👩‍🔬👨‍🔬🧑🏾‍🔬</a></li><li class="page_item page-item-174"><a href="https://web.archive.org/web/20220129013222/https://www.adducation.info/general-knowledge-science-technology/famous-scientists/">Famous Scientists A-Z 👩‍🔬🧑🏾‍🔬</a></li><li class="page_item page-item-4214"><a href="https://web.archive.org/web/20220129013222/https://www.adducation.info/general-knowledge-science-technology/famous-chemists/">Famous Chemists A-Z 🧪</a></li><li class="page_item page-item-23013 current_page_item"><a href="https://web.archive.org/web/20220129013222/https://www.adducation.info/general-knowledge-science-technology/irrational-numbers/" aria-current="page">Irrational Numbers π</a></li><li><div id="custom_html-6" class="widget_text widget_custom_html"><div class="textwidget custom-html-widget"></div></div></li><li class="page_item page-item-172"><a href="https://web.archive.org/web/20220129013222/https://www.adducation.info/general-knowledge-science-technology/famous-explorers/">Famous Explorers 🏔️🚀🏜️</a></li><li class="page_item page-item-18411"><a href="https://web.archive.org/web/20220129013222/https://www.adducation.info/general-knowledge-science-technology/famous-inventions/">Famous Inventions Timeline 🧮⏳</a></li><li class="page_item page-item-11221"><a href="https://web.archive.org/web/20220129013222/https://www.adducation.info/general-knowledge-science-technology/quiz-zone-science-technology/">QUIZ zone: Science & Technology</a></li><li class="page_item page-item-17863"><a href="https://web.archive.org/web/20220129013222/https://www.adducation.info/general-knowledge-science-technology/walked-on-the-moon/">Who Walked On The Moon? 🧑‍🚀</a></li></ul> </nav> <div class="sidebar-widget-left-container hidden-xs"> <div class="sidebar-widget"> <div id="custom_html-2" class="widget_text widget_custom_html"><div class="textwidget custom-html-widget"> <ins class="adsbygoogle" style="display:block" data-ad-client="ca-pub-2984269917033425" data-ad-slot="6147964837" data-ad-format="auto"></ins> <script> (adsbygoogle = window.adsbygoogle || []).push({}); </script></div></div> </div> </div> <div class="sidebar-widget-left-container textlinks hidden-xs"> <div class="sidebar-widget"> <div id="text-16" class="widget_text"> <div class="textwidget"></div> </div> </div> </div> </aside> </div> <div class="col-sm-8 col-md-8 col-lg-9"> <section id="content"> <div class="floating-headline"> <div class="headvisual"><img width="1044" height="200" src="/web/20220129013222im_/https://www.adducation.info/wp-content/uploads/2019/03/irrational-numbers-1044x200-prs-1044x200.jpg" class="attachment-1044x200 size-1044x200 wp-post-image" alt="irrational numbers" loading="lazy" srcset="/web/20220129013222im_/https://www.adducation.info/wp-content/uploads/2019/03/irrational-numbers-1044x200-prs.jpg 1044w, /web/20220129013222im_/https://www.adducation.info/wp-content/uploads/2019/03/irrational-numbers-1044x200-prs-616x118.jpg 616w, /web/20220129013222im_/https://www.adducation.info/wp-content/uploads/2019/03/irrational-numbers-1044x200-prs-300x57.jpg 300w, /web/20220129013222im_/https://www.adducation.info/wp-content/uploads/2019/03/irrational-numbers-1044x200-prs-400x77.jpg 400w" sizes="(max-width: 1044px) 100vw, 1044px" title="irrational numbers Irrational Numbers π"><h1>Irrational Numbers π</h1></div> <div class="sidebar-widget below-content" style="position: relative; display: block; width: 100%; margin: 1px 0px 1px 0px"> <div id="text-2" class="widget_text"> <div class="textwidget"></div> </div> </div> <div class="clearfix"> <h2>Irrational Numbers List <span class="add_red"><strong>πφτ</strong></span> FAQ About Number Types</h2> <p>Irrational numbers are <strong>real numbers</strong> which cannot be written as a fraction. The decimal expansions of irrational numbers, e.g. Pi (π=3.141592653589793), never end and never repeat. ADDucation’s list of irrational numbers also includes constants, algebraic numbers, transcendental numbers, two mysterious morphic numbers and FAQs about number types.</p> <ul> <li>ADDucation’s irrational numbers list compiled by <a href="https://web.archive.org/web/20220129013222/http://www.adducation.info/profile/joe-connor/">Joe Connor</a> and last updated 02 Mar 2021.</li> </ul> <div class="su-accordion su-u-trim"><div class="su-spoiler su-spoiler-style-fancy su-spoiler-icon-plus-square-1 su-spoiler-closed" data-scroll-offset="0" data-anchor-in-url="no"><div class="su-spoiler-title" tabindex="0" role="button"><span class="su-spoiler-icon"></span>Frequently Asked Questions About Irrational Numbers FAQ 🔽</div><div class="su-spoiler-content su-u-clearfix su-u-trim"> <div class="add-boxout"><strong>What are Integers?</strong><br> Integers are “whole numbers” which can be positive or negative but NOT fractions. For example: 1,2,3,-1,-2,-3 etc.</div> <div class="add-boxout"><strong>What are Fractions?</strong><br> A fraction is part of a whole and can be written as: <ul> <li>A <strong>fraction</strong>: e.g. 1/4</li> <li>A <strong>percentage</strong>: e.g. 25%</li> <li>In <strong>decimal</strong>: e.g. 0.25</li> </ul> <p><strong>What are Real Numbers?</strong><br> Real numbers exist and have a physical value which can be expressed in numerals.</p> <ul> <li>Real numbers can be <strong>integers</strong>.</li> <li>Real numbers can be <strong>fractions</strong>.</li> <li>Infinity ∞ is NOT a real number but <a href="https://web.archive.org/web/20220129013222/http://mathworld.wolfram.com/AffinelyExtendedRealNumbers.html" target="_blank" rel="noopener noreferrer">affinely extended real numbers</a> systems makes it possible to do arithmetic by treating infinity as if it’s a real number.</li> </ul> <p><strong>What are Imaginary Numbers / Unreal / Non-real Numbers?<br> </strong>Imaginary numbers do not have a physical value and cannot be expressed in numbers so they are notated using “<strong>i</strong>” (for imaginary).<br> Any positive or minus number squared (multiplied by itself) results in a positive number (or zero) so squaring never results in a negative number and because square roots undo squaring it follows negative numbers cannot have square roots.<br> However consider <strong>i x i = -1</strong> then take the square root of both sides and the result is <strong>i = √-1 </strong>which cannot exist so it’s called an imaginary number.</p> <p>Any real number multiplied by the square root of -1 (<strong>√-1</strong>) is an imaginary number. For example: 4i is an imaginary number and its square is -16 (4i x 4i = −16).<br> Infinity <strong>∞</strong> is an imaginary number (except when expressed as a real number).<br> Imaginary numbers makes algebra more elegant and makes solving some real world calculations easier.</p> <p><strong>What are Complex Numbers?</strong><br> Complex numbers combine a real number and an imaginary number.<br> Because either number could be 0 (zero) both real numbers and imaginary numbers can also be complex numbers. These examples cover each possibility:</p> <div class="grid4"> <div class="tdiv_silver"><strong>Example Complex Numbers</strong></div> <div class="tdiv_silver"><strong>Complex Number</strong></div> <div class="tdiv_silver"><strong>Real Part</strong></div> <div class="tdiv_silver"><strong>Imaginary Part</strong></div> <div class="tdiv_white">Complex number</div> <div class="tdiv_white">5 + 3i</div> <div class="tdiv_white">5</div> <div class="tdiv_white">3</div> <div class="tdiv_white">Complex number and real number</div> <div class="tdiv_white">9</div> <div class="tdiv_white">9</div> <div class="tdiv_white">0</div> <div class="tdiv_white">Complex number and imaginary number</div> <div class="tdiv_white">−4i</div> <div class="tdiv_white">0</div> <div class="tdiv_white">−4</div> </div> <p><strong>What are Rational Numbers?</strong><br> Rational numbers are a small subset of real numbers which can be written as a fraction or ratio. For example:</p> <ul> <li>3 is a rational number because it can be written as a ratio 3/1</li> <li>1.5 is rational number because it can be written as a fraction 3/2</li> <li>0.333… is a rational number because it can be written as the fraction 1/3</li> </ul> <p><strong>What are Irrational Numbers?</strong><br> Irrational numbers are real numbers which <strong>cannot</strong> be written as a fraction. The decimal expansion of an irrational number never ends and never repeats. Pi for example: π=3.141592653589793…</p> <p><strong>Are there more irrational numbers or more rational numbers?</strong><br> There are infinitely more irrational numbers than rational numbers. Why? That’s beyond the scope of this numbers FAQ but this convinced us: Between any two rational numbers there will be an infinite number of irrational numbers.</p> <p><strong>What are Transcendental Numbers?</strong><br> A transcendental number is a real number or an imaginary number that is not an algebraic number. There are more transcendental numbers than algebraic numbers but it’s not easy to prove a specific number is transcendental. <strong>Joseph Liouville</strong> (1809-1882) “<em>Liouville’s theorem</em>” first proved the existence of transcendental numbers in 1844. <strong>Charles Hermite</strong> proved that the number e was transcendental in 1873. <strong>Ferdinand von Lindemann</strong> proved that pi was transcendental in 1882.</p> <p><strong>What are Algebraic Numbers?</strong><br> Here are a few pointers:</p> <ul> <li>All rational numbers and integers are algebraic.</li> <li>Irrational numbers may or may not be algebraic</li> <li>If a number is <strong>not</strong> an algebraic number then it is a transcendental number.</li> </ul> <p><strong>What are Morphic Numbers?</strong><br> There are only two <a href="https://web.archive.org/web/20220129013222/http://www.nieuwarchief.nl/serie5/pdf/naw5-2001-02-1-056.pdf" target="_blank" rel="noopener noreferrer">morphic numbers</a>; the golden number and the plastic number, which are both irrational numbers. It has been shown there are no other real morphic numbers greater than 1.</p> </div></div></div> </div> <p class="add-tips"><strong>ADDucation Tips:</strong> Click arrows in column headings to sort all irrational numbers list. Reload page for original sort order. Resize your browser to full screen and/or zoom out to display as many columns as possible. Click the ➕ icon to reveal any hidden columns. Start typing in the Filter table box to find anything inside the table.</p> <div style="margin: 15px 0px"><div id="custom_html-7" class="widget_text widget_custom_html"><div class="textwidget custom-html-widget"></div></div></div><table class="dataList" data-page="false"> <thead> <tr> <th class="nobr">Irrational Numbers</th> <th data-hide="phone, tablet" data-sort-ignore="true">Symbol/s</th> <th data-hide="phone">Number type/s</th> <th data-hide="phone, tablet" data-sort-ignore="true">Decimal expansion</th> <th data-hide="phone, tablet" data-sort-ignore="true">OEIS*</th> <th data-sort-ignore="true">E Notation / Scientific Notation Value</th> <th data-hide="phone" data-sort-ignore="true">Irrational Numbers Key Facts & Info</th> </tr> </thead> <tbody> <tr> <td><strong>√2</strong> (aka Pythagorean constant, the square root of 2 and (1/2)th power of 2)</td> <td class="centred"><strong class="add_red">√2</strong></td> <td>irrational number, algebraic number.</td> <td>1.414213562373095048<br> 80168872420969807856<br> 967187537694807317667…</td> <td><a href="https://web.archive.org/web/20220129013222/https://oeis.org/A002193" target="_blank" rel="noopener noreferrer">A002193</a></td> <td>1.4142135623730951e+0</td> <td>The square root of 2 is also known as the Pythagorean constant, after <strong>Hippasus of Metapontum</strong>, a Pythagorean philosopher who, around 500 BCE, demonstrated the square root of 2 could not be expressed as a ratio of integers so this was probably the first number to be proven to be irrational. In trigonometry √2 is the length of the hypotenuse of a right triangle, when the length of the other two sides are 1. Many different mathematical proofs of √2’s irrationality exist, including one so concise it fitted into a 140 character limit tweet posted by <a href="https://web.archive.org/web/20220129013222/https://twitter.com/tinyproof" target="_blank" rel="noopener noreferrer">@TinyProof</a>.</td> </tr> <tr> <td><strong>e</strong> (aka Euler’s number and Napier’s constant)<strong><br> </strong></td> <td class="centred"><strong class="add_red">e</strong></td> <td>irrational number, transcendental number (not yet proven).</td> <td>2.718281828459045235<br> 360287471352662497757<br> 24709369995957496696<br> 762772407663…</td> <td><a href="https://web.archive.org/web/20220129013222/https://oeis.org/A001113" target="_blank" rel="noopener noreferrer">A001113</a></td> <td>2.718281828459045e+0</td> <td>The <a href="https://web.archive.org/web/20220129013222/http://www-history.mcs.st-and.ac.uk/HistTopics/e.html" target="_blank" rel="noopener noreferrer">history of the existence of e</a> as a mathematical constant, irrational number and transcendental number (not yet proven) is interesting and the story continues to unfold today. As a mathematical constant e was first implied by <strong>John Napier</strong> in a list of logarithms calculated from the constant, published in 1618. <strong>Jacob Bernoulli</strong>, a Swiss mathematician, is credited with the discovery of the constant in 1683 when studying compound interest. <p>Using the binomial theorem Bernoulli calculated the value of e was between 2 and 3. In 1748 <a href="https://web.archive.org/web/20220129013222/http://www.adducation.info/general-knowledge-science-technology/greatest-mathematicians/"><strong>Leonhard Euler</strong></a> (pronounced “Oiler”), another Swiss mathematician, published “Introduction to Analysis of the Infinite” which included the value of e to 18 decimal places (e = 2.718281828459045235) and popularized the use of the letter e to represent it. As a mathematical constant e (pronounced “ee”) also appears in calculus, number and probability theory.</p></td> </tr> <tr> <td><strong>φ</strong> (“Phi” aka golden number, golden ratio, divine proportion)</td> <td class="centred"><strong class="add_red">φ</strong></td> <td>irrational number, algebraic number, morphic number.</td> <td>1.618033988749894848<br> 20458683436563811772<br> 03091798057628621…</td> <td><a href="https://web.archive.org/web/20220129013222/https://oeis.org/A001622" target="_blank" rel="noopener noreferrer">A001622</a></td> <td>1.618033988749895e+0</td> <td>  <p>The irrational number φ is well known as the golden ratio and divine proportion. In geometry φ can be expressed as the ratio of a regular pentagon’s diagonal to the length of a side. Any two numbers (e.g. x and y) are considered in the golden ratio if (x+y)/y = φ.<br> This ratio can also be derived from the Fibonacci sequence, in which each term is the sum of the previous two terms i.e. 1,1,2,3,5,8,13,21, etc. The further along the Fibonacci sequence, the closer the ratio of consecutive terms gets to φ.</p> <p>The irrational number φ has always fascinated mathematicians, astronomers, biologists and artists because the ratio it represents is thought to have aesthetic appeal. Ratios close to φ can be found in Egyptian pyramids and in architecture and artwork from the ancient Greeks and Mayans to the Gothic and Renaissance eras to modern pieces.</p></td> </tr> <tr> <td><strong>pi</strong></td> <td class="centred"><strong class="add_red">π</strong></td> <td>irrational number, transcendental number.</td> <td>3.141592653589793238<br> 46264338327950288419<br> 71693993751058209749<br> 44592307816406286208<br> 99862803482534211706<br> 79821480865132823066<br> 47093844609550582231<br> 725359408128481117450<br> 28410270193852110555<br> 96446229489549303819…</td> <td><a href="https://web.archive.org/web/20220129013222/https://oeis.org/A000796" target="_blank" rel="noopener noreferrer">A000796</a></td> <td>3.141592653589793e+0</td> <td>Pi is a constant number which can be calculated by dividing the circumference of a circle by its diameter (or two times the radius).</td> </tr> <tr> <td><strong>tau<br> </strong></td> <td class="centred"><strong class="add_red">τ</strong></td> <td>irrational number, transcendental number.</td> <td>6.283185307179586476<br> 92528676655900576839<br> 43387987502116419498<br> 89184615632…</td> <td><a href="https://web.archive.org/web/20220129013222/https://oeis.org/A000796" target="_blank" rel="noopener noreferrer">A000796</a></td> <td>6.283185307179586e+0</td> <td>Tau is a circle constant representing the ratio between circumference and radius and is preferred to 2π by <a href="https://web.archive.org/web/20220129013222/https://tauday.com/tau-manifesto" target="_blank" rel="noopener noreferrer">Michael Hartl</a> and other <em>Tauists</em> who have sparked plenty of <strong>π</strong> versus <strong>τ</strong> media coverage rebuffed by <em>Pi-elitists</em> and <a href="https://web.archive.org/web/20220129013222/http://www.thepimanifesto.com/" target="_blank" rel="noopener noreferrer">The Pi Manifesto</a>.</td> </tr> <tr> <td><strong>Apéry’s constant</strong></td> <td class="centred"><strong class="add_red">ζ(3)</strong></td> <td>irrational number.</td> <td>1.2020569031595942853<br> 997…</td> <td><a href="https://web.archive.org/web/20220129013222/https://oeis.org/A002117" target="_blank" rel="noopener noreferrer">A002117</a></td> <td>1.2020569031595942e+0</td> <td>Apéry’s Constant was proven to be irrational in 1978 by French mathematician Roger Apéry. It’s still not known if Apéry’s Constant is transcendental. ζ is the <a href="https://web.archive.org/web/20220129013222/https://www.youtube.com/watch?v=d6c6uIyieoo" target="_blank" rel="noopener noreferrer">Riemann Zeta Function</a>.</td> </tr> <tr> <td><strong>Plastic number</strong> (aka plastic constant, plastic ratio, Siegel’s number, minimal Pisot number, platin number, le nombre radiant “the radiant number”).<strong><br> </strong></td> <td class="centred"><strong class="add_red">ρ</strong></td> <td>irrational number, morphic number.</td> <td>1.324717957244746025<br> 96090885447809734…</td> <td><a href="https://web.archive.org/web/20220129013222/https://oeis.org/A060006" target="_blank" rel="noopener noreferrer">A060006</a></td> <td>1.324717957244746e+0</td> <td>The Plastic number, discovered in 1924 by French engineer <strong>Gérard Cordonnier</strong> is a mathematical constant. Cordonnier named the constant “<em>le nombre radiant</em>” (the radiant number). Independently it was named “<em>het plastische getal</em>” (the plastic number) in 1928 by Dutch architect <strong>Dom Hans van der Laan</strong>. He used the adjective “<em>plastic</em>” to describe its three dimensional properties.</td> </tr> </tbody> </table> <div class="add-linkfooter"><strong>See also</strong>: ⏩ <strong><a title="Irrational numbers list" href="https://web.archive.org/web/20220129013222/http://www.adducation.info/general-knowledge-science-technology/physical-constants/">Fundamental physical constants list</a></strong> | 🔀<strong> <a title="SI units list" href="https://web.archive.org/web/20220129013222/http://www.adducation.info/how-to-improve-your-knowledge/units-of-measurement/">Units of measurement list</a></strong></div> <p class="add-tips"><strong>*</strong> Visit the <a href="https://web.archive.org/web/20220129013222/https://oeis.org/" target="_blank" rel="noopener noreferrer">On-Line Encyclopedia of Integer Sequences</a> (OEIS) for the latest news and exact values of irrational numbers. The OEIS was originally called “<em>Sloane’s”</em>.</p> <h3><strong>Related ADDucation Lists:</strong></h3> <ul> <li>🔀 <a title="Abbreviations list" href="https://web.archive.org/web/20220129013222/http://www.adducation.info/current-general-knowledge/acronyms/">List of Commonly Used Abbreviations (acronyms)…</a></li> <li>Help us improve ADDucation’s list of irrational numbers by adding your comments below…</li> </ul> <hr> <div class="shariff shariff-align-flex-start shariff-widget-align-flex-start"><ul class="shariff-buttons theme-round orientation-horizontal buttonsize-medium"><li class="shariff-button twitter shariff-nocustomcolor" style="background-color:#32bbf5;border-radius:10%"><a href="https://web.archive.org/web/20220129013222/https://twitter.com/share?url=https%3A%2F%2Fwww.adducation.info%2Fgeneral-knowledge-science-technology%2Firrational-numbers%2F&text=Irrational%20Numbers%20%CF%80&via=myadducation" title="Share on Twitter" aria-label="Share on Twitter" role="button" rel="noopener nofollow" class="shariff-link" style=";border-radius:10%; background-color:#55acee; color:#fff" target="_blank"><span class="shariff-icon" style=""><svg width="32px" height="20px" xmlns="http://www.w3.org/2000/svg" viewbox="0 0 30 32"><path fill="#55acee" d="M29.7 6.8q-1.2 1.8-3 3.1 0 0.3 0 0.8 0 2.5-0.7 4.9t-2.2 4.7-3.5 4-4.9 2.8-6.1 1q-5.1 0-9.3-2.7 0.6 0.1 1.5 0.1 4.3 0 7.6-2.6-2-0.1-3.5-1.2t-2.2-3q0.6 0.1 1.1 0.1 0.8 0 1.6-0.2-2.1-0.4-3.5-2.1t-1.4-3.9v-0.1q1.3 0.7 2.8 0.8-1.2-0.8-2-2.2t-0.7-2.9q0-1.7 0.8-3.1 2.3 2.8 5.5 4.5t7 1.9q-0.2-0.7-0.2-1.4 0-2.5 1.8-4.3t4.3-1.8q2.7 0 4.5 1.9 2.1-0.4 3.9-1.5-0.7 2.2-2.7 3.4 1.8-0.2 3.5-0.9z"/></svg></span></a></li><li class="shariff-button facebook shariff-nocustomcolor" style="background-color:#4273c8;border-radius:10%"><a href="https://web.archive.org/web/20220129013222/https://www.facebook.com/sharer/sharer.php?u=https%3A%2F%2Fwww.adducation.info%2Fgeneral-knowledge-science-technology%2Firrational-numbers%2F" title="Share on Facebook" aria-label="Share on Facebook" role="button" rel="nofollow" class="shariff-link" style=";border-radius:10%; background-color:#3b5998; color:#fff" target="_blank"><span class="shariff-icon" style=""><svg width="32px" height="20px" xmlns="http://www.w3.org/2000/svg" viewbox="0 0 18 32"><path fill="#3b5998" d="M17.1 0.2v4.7h-2.8q-1.5 0-2.1 0.6t-0.5 1.9v3.4h5.2l-0.7 5.3h-4.5v13.6h-5.5v-13.6h-4.5v-5.3h4.5v-3.9q0-3.3 1.9-5.2t5-1.8q2.6 0 4.1 0.2z"/></svg></span></a></li><li class="shariff-button pinterest shariff-nocustomcolor" style="background-color:#e70f18;border-radius:10%"><a href="https://web.archive.org/web/20220129013222/https://www.pinterest.com/pin/create/link/?url=https%3A%2F%2Fwww.adducation.info%2Fgeneral-knowledge-science-technology%2Firrational-numbers%2F&media=https%3A%2F%2Fwww.adducation.info%2Fwp-content%2Fuploads%2F2019%2F03%2Firrational-numbers-1044x200-prs.jpg&description=Irrational%20Numbers%20%CF%80" title="Pin it on Pinterest" aria-label="Pin it on Pinterest" role="button" rel="noopener nofollow" class="shariff-link" style=";border-radius:10%; background-color:#cb2027; color:#fff" target="_blank"><span class="shariff-icon" style=""><svg width="32px" height="20px" xmlns="http://www.w3.org/2000/svg" viewbox="0 0 27 32"><path fill="#cb2027" d="M27.4 16q0 3.7-1.8 6.9t-5 5-6.9 1.9q-2 0-3.9-0.6 1.1-1.7 1.4-2.9 0.2-0.6 1-3.8 0.4 0.7 1.3 1.2t2 0.5q2.1 0 3.8-1.2t2.7-3.4 0.9-4.8q0-2-1.1-3.8t-3.1-2.9-4.5-1.2q-1.9 0-3.5 0.5t-2.8 1.4-2 2-1.2 2.3-0.4 2.4q0 1.9 0.7 3.3t2.1 2q0.5 0.2 0.7-0.4 0-0.1 0.1-0.5t0.2-0.5q0.1-0.4-0.2-0.8-0.9-1.1-0.9-2.7 0-2.7 1.9-4.6t4.9-2q2.7 0 4.2 1.5t1.5 3.8q0 3-1.2 5.2t-3.1 2.1q-1.1 0-1.7-0.8t-0.4-1.9q0.1-0.6 0.5-1.7t0.5-1.8 0.2-1.4q0-0.9-0.5-1.5t-1.4-0.6q-1.1 0-1.9 1t-0.8 2.6q0 1.3 0.4 2.2l-1.8 7.5q-0.3 1.2-0.2 3.2-3.7-1.6-6-5t-2.3-7.6q0-3.7 1.9-6.9t5-5 6.9-1.9 6.9 1.9 5 5 1.8 6.9z"/></svg></span></a></li><li class="shariff-button whatsapp shariff-nocustomcolor" style="background-color:#5cbe4a;border-radius:10%"><a href="https://web.archive.org/web/20220129013222/https://api.whatsapp.com/send?text=https%3A%2F%2Fwww.adducation.info%2Fgeneral-knowledge-science-technology%2Firrational-numbers%2F%20Irrational%20Numbers%20%CF%80" title="Share on Whatsapp" aria-label="Share on Whatsapp" role="button" rel="noopener nofollow" class="shariff-link" style=";border-radius:10%; background-color:#34af23; color:#fff" target="_blank"><span class="shariff-icon" style=""><svg width="32px" height="20px" xmlns="http://www.w3.org/2000/svg" viewbox="0 0 32 32"><path fill="#34af23" d="M17.6 17.4q0.2 0 1.7 0.8t1.6 0.9q0 0.1 0 0.3 0 0.6-0.3 1.4-0.3 0.7-1.3 1.2t-1.8 0.5q-1 0-3.4-1.1-1.7-0.8-3-2.1t-2.6-3.3q-1.3-1.9-1.3-3.5v-0.1q0.1-1.6 1.3-2.8 0.4-0.4 0.9-0.4 0.1 0 0.3 0t0.3 0q0.3 0 0.5 0.1t0.3 0.5q0.1 0.4 0.6 1.6t0.4 1.3q0 0.4-0.6 1t-0.6 0.8q0 0.1 0.1 0.3 0.6 1.3 1.8 2.4 1 0.9 2.7 1.8 0.2 0.1 0.4 0.1 0.3 0 1-0.9t0.9-0.9zM14 26.9q2.3 0 4.3-0.9t3.6-2.4 2.4-3.6 0.9-4.3-0.9-4.3-2.4-3.6-3.6-2.4-4.3-0.9-4.3 0.9-3.6 2.4-2.4 3.6-0.9 4.3q0 3.6 2.1 6.6l-1.4 4.2 4.3-1.4q2.8 1.9 6.2 1.9zM14 2.2q2.7 0 5.2 1.1t4.3 2.9 2.9 4.3 1.1 5.2-1.1 5.2-2.9 4.3-4.3 2.9-5.2 1.1q-3.5 0-6.5-1.7l-7.4 2.4 2.4-7.2q-1.9-3.2-1.9-6.9 0-2.7 1.1-5.2t2.9-4.3 4.3-2.9 5.2-1.1z"/></svg></span></a></li><li class="shariff-button linkedin shariff-nocustomcolor" style="background-color:#1488bf;border-radius:10%"><a href="https://web.archive.org/web/20220129013222/https://www.linkedin.com/shareArticle?mini=true&url=https%3A%2F%2Fwww.adducation.info%2Fgeneral-knowledge-science-technology%2Firrational-numbers%2F&title=Irrational%20Numbers%20%CF%80" title="Share on LinkedIn" aria-label="Share on LinkedIn" role="button" rel="noopener nofollow" class="shariff-link" style=";border-radius:10%; background-color:#0077b5; color:#fff" target="_blank"><span class="shariff-icon" style=""><svg width="32px" height="20px" xmlns="http://www.w3.org/2000/svg" viewbox="0 0 27 32"><path fill="#0077b5" d="M6.2 11.2v17.7h-5.9v-17.7h5.9zM6.6 5.7q0 1.3-0.9 2.2t-2.4 0.9h0q-1.5 0-2.4-0.9t-0.9-2.2 0.9-2.2 2.4-0.9 2.4 0.9 0.9 2.2zM27.4 18.7v10.1h-5.9v-9.5q0-1.9-0.7-2.9t-2.3-1.1q-1.1 0-1.9 0.6t-1.2 1.5q-0.2 0.5-0.2 1.4v9.9h-5.9q0-7.1 0-11.6t0-5.3l0-0.9h5.9v2.6h0q0.4-0.6 0.7-1t1-0.9 1.6-0.8 2-0.3q3 0 4.9 2t1.9 6z"/></svg></span></a></li><li class="shariff-button mailto shariff-nocustomcolor" style="background-color:#a8a8a8;border-radius:10%"><a href="https://web.archive.org/web/20220129013222/mailto:/?body=https%3A%2F%2Fwww.adducation.info%2Fgeneral-knowledge-science-technology%2Firrational-numbers%2F&subject=Irrational%20Numbers%20%CF%80" title="Send by email" aria-label="Send by email" role="button" rel="noopener nofollow" class="shariff-link" style=";border-radius:10%; background-color:#999; color:#fff"><span class="shariff-icon" style=""><svg width="32px" height="20px" xmlns="http://www.w3.org/2000/svg" viewbox="0 0 32 32"><path fill="#999" d="M32 12.7v14.2q0 1.2-0.8 2t-2 0.9h-26.3q-1.2 0-2-0.9t-0.8-2v-14.2q0.8 0.9 1.8 1.6 6.5 4.4 8.9 6.1 1 0.8 1.6 1.2t1.7 0.9 2 0.4h0.1q0.9 0 2-0.4t1.7-0.9 1.6-1.2q3-2.2 8.9-6.1 1-0.7 1.8-1.6zM32 7.4q0 1.4-0.9 2.7t-2.2 2.2q-6.7 4.7-8.4 5.8-0.2 0.1-0.7 0.5t-1 0.7-0.9 0.6-1.1 0.5-0.9 0.2h-0.1q-0.4 0-0.9-0.2t-1.1-0.5-0.9-0.6-1-0.7-0.7-0.5q-1.6-1.1-4.7-3.2t-3.6-2.6q-1.1-0.7-2.1-2t-1-2.5q0-1.4 0.7-2.3t2.1-0.9h26.3q1.2 0 2 0.8t0.9 2z"/></svg></span></a></li></ul></div> </div> <div class="sidebar-widget below-content" style="position: relative; display: block; width: 100%; margin: 5px 0px;"> </div> <div id="respond" class="comment-respond"> <h3 id="reply-title" class="comment-reply-title">Leave a Reply <small><a rel="nofollow" id="cancel-comment-reply-link" href="/web/20220129013222/https://www.adducation.info/general-knowledge-science-technology/irrational-numbers/#respond" style="display:none;">Cancel reply</a></small></h3><form action="https://web.archive.org/web/20220129013222/https://www.adducation.info/wp-comments-post.php" method="post" id="commentform" class="comment-form"><p class="comment-notes"><span id="email-notes">Your email address will not be published.</span> <span class="required-field-message" aria-hidden="true">Required fields are marked <span class="required" aria-hidden="true">*</span></span></p><p class="comment-form-author"><label for="author">Name <span class="required" aria-hidden="true">*</span></label> <input id="author" name="author" type="text" value="" size="30" maxlength="245" required="required"/></p> <p class="comment-form-email"><label for="email">Email <span class="required" aria-hidden="true">*</span></label> <input id="email" name="email" type="text" value="" size="30" maxlength="100" aria-describedby="email-notes" required="required"/></p> <p class="comment-form-cookies-consent"><input id="wp-comment-cookies-consent" name="wp-comment-cookies-consent" type="checkbox" value="yes"/> <label for="wp-comment-cookies-consent">Save my name, email, and website in this browser for the next time I comment.</label></p> <p class="comment-form-comment"><label for="comment">Share Your Feedback</label><textarea id="comment" name="comment" placeholder="Add your comments here to help us improve our lists - thank you!" cols="45" rows="2" aria-required="true"></textarea></p><p class="form-submit"><input name="submit" type="submit" id="submit" class="submit" value="Post Comment"/> <input type="hidden" name="comment_post_ID" value="23013" id="comment_post_ID"/> <input type="hidden" name="comment_parent" id="comment_parent" value="0"/> </p> <script type="text/javascript"> /* <![CDATA[ */ r3f5x9JS=escape(document['referrer']); hf1N='4a46035f09b261b0071947a28fd0b887'; hf1V='655b0c3509addcf3873fcde130ecf895'; document.write("<input type='hidden' name='r3f5x9JS' value='"+r3f5x9JS+"' /><input type='hidden' name='"+hf1N+"' value='"+hf1V+"' />"); /* ]]> */ </script> <noscript><input type="hidden" name="JS04X7" value="NS1"/></noscript> <noscript><p><strong>Currently you have JavaScript disabled. In order to post comments, please make sure JavaScript and Cookies are enabled, and reload the page.</strong> <a href="https://web.archive.org/web/20220129013222/http://enable-javascript.com/" rel="nofollow external">Click here for instructions on how to enable JavaScript in your browser.</a></p></noscript> </form> </div> </div> </section> </div> </div> </div> </main> </div> <footer class="footer" role="contentinfo"> <div class="container-fluid"> <div class="row"> <div class="col-md-12"> <div class="menu-categories-container"><ul id="menu-categories-1" class="menu"><li class="earth_space menu-item menu-item-type-post_type menu-item-object-page menu-item-25714"><a href="https://web.archive.org/web/20220129013222/https://www.adducation.info/earth-general-knowledge/">Earth & Space</a></li> <li class="mankind_nature menu-item menu-item-type-post_type menu-item-object-page menu-item-14075"><a href="https://web.archive.org/web/20220129013222/https://www.adducation.info/mankind-nature-general-knowledge/">Mankind & Nature</a></li> <li class="science_technology menu-item menu-item-type-post_type menu-item-object-page current-page-ancestor menu-item-14076"><a href="https://web.archive.org/web/20220129013222/https://www.adducation.info/general-knowledge-science-technology/">Science & Technology</a></li> <li class="travel_transport menu-item menu-item-type-post_type menu-item-object-page menu-item-14077"><a href="https://web.archive.org/web/20220129013222/https://www.adducation.info/general-knowledge-travel-and-transport/">Travel and Transport</a></li> <li class="history menu-item menu-item-type-post_type menu-item-object-page menu-item-14078"><a href="https://web.archive.org/web/20220129013222/https://www.adducation.info/general-knowledge-history/">History</a></li> <li class="politics menu-item menu-item-type-post_type menu-item-object-page menu-item-14079"><a href="https://web.archive.org/web/20220129013222/https://www.adducation.info/general-knowledge-politics-religion/">Politics & Religion</a></li> <li class="literature menu-item menu-item-type-post_type menu-item-object-page menu-item-14080"><a href="https://web.archive.org/web/20220129013222/https://www.adducation.info/general-knowledge-literature-philosophy/">Literature & Philosophy</a></li> <li class="art menu-item menu-item-type-post_type menu-item-object-page menu-item-14081"><a href="https://web.archive.org/web/20220129013222/https://www.adducation.info/general-knowledge-art-artists/">Art & Artists</a></li> <li class="classical_music menu-item menu-item-type-post_type menu-item-object-page menu-item-14082"><a href="https://web.archive.org/web/20220129013222/https://www.adducation.info/general-knowledge-classic-music/">Classical Music</a></li> <li class="rock_pop menu-item menu-item-type-post_type menu-item-object-page menu-item-14083"><a href="https://web.archive.org/web/20220129013222/https://www.adducation.info/general-knowledge-rock-pop/">Rock & Pop</a></li> <li class="movies_tv menu-item menu-item-type-post_type menu-item-object-page menu-item-14084"><a href="https://web.archive.org/web/20220129013222/https://www.adducation.info/general-knowledge-movies-tv/">Movies and TV Shows</a></li> <li class="sport menu-item menu-item-type-post_type menu-item-object-page menu-item-14085"><a href="https://web.archive.org/web/20220129013222/https://www.adducation.info/general-knowledge-sport/">Sport</a></li> <li class="football menu-item menu-item-type-post_type menu-item-object-page menu-item-14086"><a href="https://web.archive.org/web/20220129013222/https://www.adducation.info/general-knowledge-football/">Football Facts</a></li> <li class="current_knowledge menu-item menu-item-type-post_type menu-item-object-page menu-item-14087"><a href="https://web.archive.org/web/20220129013222/https://www.adducation.info/how-to-improve-your-knowledge/">General Knowledge</a></li> <li class="lifestyle menu-item menu-item-type-post_type menu-item-object-page menu-item-14088"><a href="https://web.archive.org/web/20220129013222/https://www.adducation.info/lifestyle/">LifeStyle</a></li> <li class="quizzes menu-item menu-item-type-post_type menu-item-object-page menu-item-14843"><a href="https://web.archive.org/web/20220129013222/https://www.adducation.info/free-online-quizzes-general-knowledge/">QUIZ zone</a></li> </ul></div> <div class="menu-footer-container"><ul id="menu-footer" class="menu"><li id="menu-item-21633" class="menu-item menu-item-type-post_type menu-item-object-page menu-item-privacy-policy menu-item-21633"><a href="https://web.archive.org/web/20220129013222/https://www.adducation.info/data-privacy-policy/">Data Privacy Policy</a></li> <li id="menu-item-14069" class="menu-item menu-item-type-post_type menu-item-object-page menu-item-14069"><a href="https://web.archive.org/web/20220129013222/https://www.adducation.info/legal-notice/">ADDucation Legal Notice</a></li> <li id="menu-item-14070" class="menu-item menu-item-type-post_type menu-item-object-page menu-item-14070"><a href="https://web.archive.org/web/20220129013222/https://www.adducation.info/sitemap/">Sitemap</a></li> <li id="menu-item-14066" class="menu-item menu-item-type-post_type menu-item-object-page menu-item-home menu-item-14066"><a href="https://web.archive.org/web/20220129013222/https://www.adducation.info/">General Knowledge Lists</a></li> <li id="menu-item-14067" class="menu-item menu-item-type-post_type menu-item-object-page menu-item-14067"><a href="https://web.archive.org/web/20220129013222/https://www.adducation.info/feedback/">Contact & Feedback</a></li> </ul></div> </div> </div> </div> </footer> </div> <a id="scroll-to-top" href="#" title="Scroll to Top">Top</a> <script type="text/javascript"> /* <![CDATA[ */ r3f5x9JS=escape(document['referrer']); hf4N='4a46035f09b261b0071947a28fd0b887'; hf4V='655b0c3509addcf3873fcde130ecf895'; cm4S="form[action='https://web.archive.org/web/20220129013222/https://www.adducation.info/wp-comments-post.php']"; jQuery(document).ready(function($){var e="#commentform, .comment-respond form, .comment-form, "+cm4S+", #lostpasswordform, #registerform, #loginform, #login_form, #wpss_contact_form";$(e).submit(function(){$("<input>").attr("type","hidden").attr("name","r3f5x9JS").attr("value",r3f5x9JS).appendTo(e);return true;});var h="form[method='post']";$(h).submit(function(){$("<input>").attr("type","hidden").attr("name",hf4N).attr("value",hf4V).appendTo(h);return true;});}); /* ]]> */ </script> <aside id="moove_gdpr_cookie_info_bar" class="moove-gdpr-info-bar-hidden moove-gdpr-align-center moove-gdpr-light-scheme gdpr_infobar_postion_bottom" role="note" aria-label="GDPR Cookie Banner" style="display: none;"> <div class="moove-gdpr-info-bar-container"> <div class="moove-gdpr-info-bar-content"> <div class="moove-gdpr-cookie-notice"> <p>ADDucation uses cookies to enhance your visitor experience. <span role="link" tabindex="0" data-href="#moove_gdpr_cookie_modal" class="change-settings-button">Configure or reject cookies here</span> or</p> </div> <div class="moove-gdpr-button-holder"> <button class="mgbutton moove-gdpr-infobar-allow-all gdpr-fbo-0" aria-label="Accept all">Accept all</button> </div> </div> </div> </aside> <span style="display: none;" data-name="wpacu-generator" data-content="ASSET CLEANUP STYLES MOVED FROM HEAD TO BODY"></span><link data-wpacu-style-handle="shariffcss" rel="preload" id="shariffcss-css" href="https://web.archive.org/web/20220129013222/https://www.adducation.info/wp-content/plugins/shariff/css/shariff.min.css?ver=4.6.7" type="text/css" media="all" as="style" onload="this.rel='stylesheet'"><noscript><link data-wpacu-style-handle="shariffcss" rel="stylesheet" id="shariffcss-css" href="https://web.archive.org/web/20220129013222cs_/https://www.adducation.info/wp-content/plugins/shariff/css/shariff.min.css?ver=4.6.7" type="text/css" media="all"></noscript> <link data-wpacu-style-handle="su-icons" rel="preload" id="su-icons-css" href="https://web.archive.org/web/20220129013222/https://www.adducation.info/wp-content/plugins/shortcodes-ultimate/includes/css/icons.css?ver=1.1.5" type="text/css" media="all" as="style" onload="this.rel='stylesheet'"><noscript><link data-wpacu-style-handle="su-icons" rel="stylesheet" id="su-icons-css" href="https://web.archive.org/web/20220129013222cs_/https://www.adducation.info/wp-content/plugins/shortcodes-ultimate/includes/css/icons.css?ver=1.1.5" type="text/css" media="all"></noscript> <link data-wpacu-style-handle="su-shortcodes" rel="preload" id="su-shortcodes-css" href="https://web.archive.org/web/20220129013222/https://www.adducation.info/wp-content/plugins/shortcodes-ultimate/includes/css/shortcodes.css?ver=5.12.0" type="text/css" media="all" as="style" onload="this.rel='stylesheet'"><noscript><link data-wpacu-style-handle="su-shortcodes" rel="stylesheet" id="su-shortcodes-css" href="https://web.archive.org/web/20220129013222cs_/https://www.adducation.info/wp-content/plugins/shortcodes-ultimate/includes/css/shortcodes.css?ver=5.12.0" type="text/css" media="all"></noscript> <script data-wpacu-script-handle="bootstrap" type="text/javascript" src="/web/20220129013222js_/https://www.adducation.info/s/loaded/8cb4f0a71068.js" id="bootstrap-js"></script> <script data-wpacu-script-handle="jquery-smooth-scroll" type="text/javascript" async="async" defer="defer" id="jquery-smooth-scroll-js">ress_js("https://web.archive.org/web/20220129013222/https://www.adducation.info/wp-content/plugins/jquery-smooth-scroll/js/script.min.js?ver=b810a84b419a50c6b1e77a7966aa486d");</script> <script data-wpacu-script-handle="qsm-export-results" type="text/javascript" src="/web/20220129013222js_/https://www.adducation.info/wp-content/plugins/qsm-export-results/js/qsm-export-results.js?ver=1.4.9" id="qsm-export-results-js"></script> <script type="text/javascript" id="google-analytics-germanized-gaoptout-js-extra">var gaoptoutSettings = {"ua":"UA-6475718-4","disabled":"Google Analytics Opt-out Cookie was set!"};</script> <script data-wpacu-script-handle="google-analytics-germanized-gaoptout" type="text/javascript" async="async" defer="defer" id="google-analytics-germanized-gaoptout-js">ress_js("https://web.archive.org/web/20220129013222/https://www.adducation.info/wp-content/plugins/ga-germanized/assets/js/gaoptout.js?ver=1.5.5");</script> <script data-wpacu-script-handle="wpss-jscripts-ftr" type="text/javascript" src="/web/20220129013222js_/https://www.adducation.info/wp-content/plugins/wp-spamshield/js/jscripts-ftr2-min.js" id="wpss-jscripts-ftr-js"></script> <script type="text/javascript" id="moove_gdpr_frontend-js-extra">var moove_frontend_gdpr_scripts = {"ajaxurl":"https:\/\/web.archive.org\/web\/20220129013222\/https:\/\/www.adducation.info\/wp-admin\/admin-ajax.php","post_id":"23013","plugin_dir":"https:\/\/web.archive.org\/web\/20220129013222\/https:\/\/www.adducation.info\/wp-content\/plugins\/gdpr-cookie-compliance","show_icons":"all","is_page":"1","strict_init":"2","enabled_default":{"third_party":1,"advanced":0},"geo_location":"false","force_reload":"false","is_single":"","hide_save_btn":"false","current_user":"0","cookie_expiration":"365","script_delay":"2000","gdpr_scor":"true","wp_lang":""};</script> <script data-wpacu-script-handle="moove_gdpr_frontend" type="text/javascript" src="/web/20220129013222js_/https://www.adducation.info/wp-content/plugins/gdpr-cookie-compliance/dist/scripts/main.js?ver=4.7.3" id="moove_gdpr_frontend-js"></script> <script data-wpacu-script-handle="shariff_popup" type="text/javascript" src="/web/20220129013222js_/https://www.adducation.info/wp-content/plugins/shariff/js/shariff-popup.min.js?ver=4.6.7" id="shariff_popup-js"></script> <script type="text/javascript" id="su-shortcodes-js-extra">var SUShortcodesL10n = {"noPreview":"This shortcode doesn't work in live preview. Please insert it into editor and preview on the site.","magnificPopup":{"close":"Close (Esc)","loading":"Loading...","prev":"Previous (Left arrow key)","next":"Next (Right arrow key)","counter":"%curr% of %total%","error":"Failed to load content. <a href=\"%url%\" target=\"_blank\"><u>Open link<\/u><\/a>"}};</script> <script data-wpacu-script-handle="su-shortcodes" type="text/javascript" async="async" defer="defer" id="su-shortcodes-js">ress_js("https://web.archive.org/web/20220129013222/https://www.adducation.info/wp-content/plugins/shortcodes-ultimate/includes/js/shortcodes/index.js?ver=5.12.0");</script> <script type="text/javascript"> if(typeof jQuery != "undefined") { jQuery('.siq-expsearch-icon').each(function(){ var searchBox = (jQuery(this).parents('.siq-icon-searchbox-wrap').length > 0) ? jQuery(this).parents('.siq-icon-searchbox-wrap') : jQuery('.siq-menu-searchbox-wrap') ; var inputBox = searchBox.find('.siq-expsearch-input'); jQuery(this).on('click', function () { if (!searchBox.hasClass('siq-search-open')) { searchBox.addClass('siq-search-open'); inputBox.focus(); } else { searchBox.removeClass('siq-search-open'); inputBox.focusout(); } }); jQuery('body').click(function (evt) { if (evt.target.id == "siq-menu-searchbox-wrap") return; if (jQuery(evt.target).closest('#siq-menu-searchbox-wrap').length || jQuery(evt.target).closest('.siq-icon-searchbox-wrap').length) return; if (searchBox.hasClass('siq-search-open')) { searchBox.removeClass('siq-search-open'); } }); }); } </script> <style type="text/css"> .su-youtube { margin: 0; } </style> <div id="moove_gdpr_cookie_modal" class="gdpr_lightbox-hide" role="complementary" aria-label="GDPR Settings Screen"> <div class="moove-gdpr-modal-content moove-clearfix logo-position-left moove_gdpr_modal_theme_v1"> <button class="moove-gdpr-modal-close" aria-label="Close GDPR Cookie Settings"> <span class="gdpr-sr-only">Close GDPR Cookie Settings</span> <span class="gdpr-icon moovegdpr-arrow-close"></span> </button> <div class="moove-gdpr-modal-left-content"> <div class="moove-gdpr-company-logo-holder"> <img src="https://web.archive.org/web/20220129013222im_/http://www.adducation.info/wp-content/plugins/gdpr-cookie-compliance/dist/images/gdpr-logo.png" alt="Adducation" width="350" height="233" class="img-responsive"> </div> <ul id="moove-gdpr-menu"> <li class="menu-item-on menu-item-privacy_overview menu-item-selected"> <button data-href="#privacy_overview" class="moove-gdpr-tab-nav" aria-label="Privacy Overview"> <span class="gdpr-svg-icon"> <svg class="icon icon-privacy-overview" viewbox="0 0 26 32"> <path d="M11.082 27.443l1.536 0.666 1.715-0.717c5.018-2.099 8.294-7.014 8.294-12.442v-5.734l-9.958-5.325-9.702 5.325v5.862c0 5.376 3.2 10.24 8.115 12.365zM4.502 10.138l8.166-4.506 8.397 4.506v4.813c0 4.838-2.893 9.19-7.347 11.034l-1.101 0.461-0.922-0.41c-4.352-1.894-7.194-6.195-7.194-10.957v-4.941zM12.029 14.259h1.536v7.347h-1.536v-7.347zM12.029 10.394h1.536v2.483h-1.536v-2.483z" fill="currentColor"></path> </svg> </span> <span class="gdpr-nav-tab-title">Privacy Overview</span> </button> </li> <li class="menu-item-strict-necessary-cookies menu-item-off"> <button data-href="#strict-necessary-cookies" class="moove-gdpr-tab-nav" aria-label="Strictly Necessary Cookies"> <span class="gdpr-svg-icon"> <svg class="icon icon-strict-necessary" viewbox="0 0 26 32"> <path d="M22.685 5.478l-9.984 10.752-2.97-4.070c-0.333-0.461-0.973-0.538-1.434-0.205-0.435 0.333-0.538 0.947-0.23 1.408l3.686 5.094c0.179 0.256 0.461 0.41 0.768 0.435h0.051c0.282 0 0.538-0.102 0.742-0.307l10.854-11.699c0.358-0.435 0.333-1.075-0.102-1.434-0.384-0.384-0.998-0.358-1.382 0.026v0zM22.301 12.954c-0.563 0.102-0.922 0.64-0.794 1.203 0.128 0.614 0.179 1.229 0.179 1.843 0 5.094-4.122 9.216-9.216 9.216s-9.216-4.122-9.216-9.216 4.122-9.216 9.216-9.216c1.536 0 3.021 0.384 4.378 1.101 0.512 0.23 1.126 0 1.357-0.538 0.205-0.461 0.051-0.998-0.384-1.254-5.478-2.944-12.314-0.922-15.283 4.557s-0.922 12.314 4.557 15.258 12.314 0.922 15.258-4.557c0.896-1.638 1.357-3.482 1.357-5.35 0-0.768-0.077-1.51-0.23-2.253-0.102-0.538-0.64-0.896-1.178-0.794z" fill="currentColor"></path> </svg> </span> <span class="gdpr-nav-tab-title">Strictly Necessary Cookies</span> </button> </li> <li class="menu-item-off menu-item-third_party_cookies"> <button data-href="#third_party_cookies" class="moove-gdpr-tab-nav" aria-label="Google Analytics Tracking"> <span class="gdpr-svg-icon"> <svg class="icon icon-3rd-party" viewbox="0 0 26 32"> <path d="M25.367 3.231c-0.020 0-0.040 0-0.060 0.020l-4.98 1.080c-0.16 0.040-0.2 0.16-0.080 0.28l1.42 1.42-10.060 10.040 1.14 1.14 10.060-10.060 1.42 1.42c0.12 0.12 0.24 0.080 0.28-0.080l1.060-5.020c0-0.14-0.080-0.26-0.2-0.24zM1.427 6.371c-0.74 0-1.4 0.66-1.4 1.4v19.6c0 0.74 0.66 1.4 1.4 1.4h19.6c0.74 0 1.4-0.66 1.4-1.4v-14.6h-1.6v14.4h-19.2v-19.2h14.38v-1.6h-14.58z" fill="currentColor"></path> </svg> </span> <span class="gdpr-nav-tab-title">Google Analytics Tracking</span> </button> </li> <li class="menu-item-moreinfo menu-item-off"> <button data-href="#cookie_policy_modal" class="moove-gdpr-tab-nav" aria-label="Cookie Policy"> <span class="gdpr-svg-icon"> <svg class="icon icon-policy" viewbox="0 0 26 32"> <path d="M21.936 10.816c0-0.205-0.077-0.384-0.23-0.538l-5.862-5.99c-0.154-0.154-0.333-0.23-0.538-0.23h-9.088c-1.408 0-2.56 1.152-2.56 2.56v18.765c0 1.408 1.152 2.56 2.56 2.56h13.158c1.408 0 2.56-1.152 2.56-2.56v-14.566zM16.022 6.669l3.558 3.635h-3.302c-0.154 0-0.256-0.102-0.256-0.256v-3.379zM19.376 26.381h-13.158c-0.563 0-1.024-0.461-1.024-1.024v-18.739c0-0.563 0.461-1.024 1.024-1.024h8.269v4.454c0 0.998 0.794 1.792 1.792 1.792h4.122v13.542c0 0.538-0.461 0.998-1.024 0.998zM16.893 18.419h-8.192c-0.435 0-0.768 0.333-0.768 0.768s0.333 0.768 0.768 0.768h8.192c0.435 0 0.768-0.333 0.768-0.768s-0.333-0.768-0.768-0.768zM16.893 14.528h-8.192c-0.435 0-0.768 0.333-0.768 0.768s0.333 0.768 0.768 0.768h8.192c0.435 0 0.768-0.333 0.768-0.768s-0.333-0.768-0.768-0.768z" fill="currentColor"></path> </svg> </span> <span class="gdpr-nav-tab-title">Cookie Policy</span> </button> </li> </ul> <div class="moove-gdpr-branding-cnt"> <a href="https://web.archive.org/web/20220129013222/https://wordpress.org/plugins/gdpr-cookie-compliance/" target="_blank" rel="noopener noreferrer nofollow" class="moove-gdpr-branding">Powered by  <span>GDPR Cookie Compliance</span></a> </div> </div> <div class="moove-gdpr-modal-right-content"> <div class="moove-gdpr-modal-title"> </div> <div class="main-modal-content"> <div class="moove-gdpr-tab-content"> <div id="privacy_overview" class="moove-gdpr-tab-main"> <span class="tab-title">Privacy Overview</span> <div class="moove-gdpr-tab-main-content"> <p>ADDucation web pages use cookies. They are small text files stored on your computer and saved by your browser. Cookies do not harm your computer or contain viruses. Cookies help make our website more user-friendly, efficient and secure.<br/> Most ADDucation cookies are "session cookies" which are automatically deleted after your visit. Some other other cookies remain in your device’s memory until they are deleted. These cookies make it possible to recognize your browser when you re-visit ADDucation.info.</p> </div> </div> <div id="strict-necessary-cookies" class="moove-gdpr-tab-main" style="display:none"> <span class="tab-title">Strictly Necessary Cookies</span> <div class="moove-gdpr-tab-main-content"> <p>Strictly Necessary Cookie should be enabled at all times so that we can save your preferences for cookie settings.</p> <div class="moove-gdpr-status-bar gdpr-checkbox-disabled checkbox-selected"> <div class="gdpr-cc-form-wrap"> <div class="gdpr-cc-form-fieldset"> <label class="cookie-switch" for="moove_gdpr_strict_cookies"> <span class="gdpr-sr-only">Enable or Disable Cookies</span> <input type="checkbox" aria-label="Strictly Necessary Cookies" disabled checked="checked" value="check" name="moove_gdpr_strict_cookies" id="moove_gdpr_strict_cookies"> <span class="cookie-slider cookie-round" data-text-enable="Enabled" data-text-disabled="Disabled"></span> </label> </div> </div> </div> <div class="moove-gdpr-strict-warning-message" style="margin-top: 10px;"> <p>If you disable this cookie, we will not be able to save your preferences. This means every time you visit ADDucation.info you will be asked to accept or disable cookies again.</p> </div> </div> </div> <div id="third_party_cookies" class="moove-gdpr-tab-main" style="display:none"> <span class="tab-title">Google Analytics Tracking</span> <div class="moove-gdpr-tab-main-content"> <p>This website uses Google Analytics to collect anonymous information such as the number of visitors to the site, and the most popular pages.</p> <p>Keeping this cookie enabled helps us to improve our website.</p> <div class="moove-gdpr-status-bar"> <div class="gdpr-cc-form-wrap"> <div class="gdpr-cc-form-fieldset"> <label class="cookie-switch" for="moove_gdpr_performance_cookies"> <span class="gdpr-sr-only">Enable or Disable Cookies</span> <input type="checkbox" aria-label="Google Analytics Tracking" value="check" name="moove_gdpr_performance_cookies" id="moove_gdpr_performance_cookies"> <span class="cookie-slider cookie-round" data-text-enable="Enabled" data-text-disabled="Disabled"></span> </label> </div> </div> </div> <div class="moove-gdpr-strict-secondary-warning-message" style="margin-top: 10px; display: none;"> <p>Please enable Strictly Necessary Cookies first so we can save your preferences!</p> </div> </div> </div> <div id="cookie_policy_modal" class="moove-gdpr-tab-main" style="display:none"> <span class="tab-title">Cookie Policy</span> <div class="moove-gdpr-tab-main-content"> <p>More information about our <a href="https://web.archive.org/web/20220129013222/http://www.adducation.info/data-privacy-policy/" target="_blank">Cookie Policy</a></p> </div> </div> </div> </div> <div class="moove-gdpr-modal-footer-content"> <div class="moove-gdpr-button-holder"> <button class="mgbutton moove-gdpr-modal-allow-all button-visible" aria-label="Enable All">Enable All</button> <button class="mgbutton moove-gdpr-modal-save-settings button-visible" aria-label="Save Settings">Save Settings</button> </div> </div> </div> <div class="moove-clearfix"></div> </div> </div> <span style="display: none;" data-name="wpacu-delimiter" data-content="ASSET CLEANUP NOSCRIPT FOR ASYNC PRELOADS"></span><span style="display: none;" data-name="wpacu-delimiter" content="ASSET CLEANUP NOSCRIPT WEB FONT LOADER"></span> <script src="/web/20220129013222js_/https://www.adducation.info/wp-content/themes/taschenhirn-2015/js/main.js"></script> <script src="/web/20220129013222js_/https://www.adducation.info/s/98694e.js" async defer></script></body> </html>