{"id":17012,"date":"2019-04-15T10:45:02","date_gmt":"2019-04-15T14:45:02","guid":{"rendered":"http:\/\/blog.carlrobitaille.org\/?p=17012"},"modified":"2019-04-15T10:45:04","modified_gmt":"2019-04-15T14:45:04","slug":"a-simple-proof-that-%e2%88%9a2-is-irrational","status":"publish","type":"post","link":"https:\/\/blog.carlrobitaille.org\/?p=17012","title":{"rendered":"A simple proof that \u221a2 is irrational"},"content":{"rendered":"\n<figure class=\"wp-block-embed-twitter wp-block-embed is-type-rich is-provider-twitter\"><div class=\"wp-block-embed__wrapper\">\n<blockquote class=\"twitter-tweet\" data-width=\"550\" data-dnt=\"true\"><p lang=\"en\" dir=\"ltr\">Placing the 2 smaller squares on the larger one, we see that the sum of the areas of the corner squares must equal the area of the black central one. We reached a contradiction since we assumed a and b are the smallest integers such that a\u00b2=2b\u00b2! <a href=\"https:\/\/t.co\/2xMt3MN2zL\">pic.twitter.com\/2xMt3MN2zL<\/a><\/p>&mdash; Fermat&#39;s Library (@fermatslibrary) <a href=\"https:\/\/twitter.com\/fermatslibrary\/status\/1117795854486622208?ref_src=twsrc%5Etfw\">April 15, 2019<\/a><\/blockquote><script async src=\"https:\/\/platform.twitter.com\/widgets.js\" charset=\"utf-8\"><\/script>\n<\/div><\/figure>\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[19],"tags":[],"class_list":["post-17012","post","type-post","status-publish","format-standard","hentry","category-mathematiques"],"_links":{"self":[{"href":"https:\/\/blog.carlrobitaille.org\/index.php?rest_route=\/wp\/v2\/posts\/17012","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blog.carlrobitaille.org\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blog.carlrobitaille.org\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blog.carlrobitaille.org\/index.php?rest_route=\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/blog.carlrobitaille.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=17012"}],"version-history":[{"count":1,"href":"https:\/\/blog.carlrobitaille.org\/index.php?rest_route=\/wp\/v2\/posts\/17012\/revisions"}],"predecessor-version":[{"id":17013,"href":"https:\/\/blog.carlrobitaille.org\/index.php?rest_route=\/wp\/v2\/posts\/17012\/revisions\/17013"}],"wp:attachment":[{"href":"https:\/\/blog.carlrobitaille.org\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=17012"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blog.carlrobitaille.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=17012"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blog.carlrobitaille.org\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=17012"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}