{"id":7192,"date":"2011-11-22T22:00:17","date_gmt":"2011-11-22T22:00:17","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=7192"},"modified":"2021-12-11T18:54:15","modified_gmt":"2021-12-11T18:54:15","slug":"a-irracionalidade-de-sqrt2","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=7192","title":{"rendered":"A irracionalidade de $\\sqrt{2}$"},"content":{"rendered":"<p>Como sabes, $\\sqrt{2}=\\text{1}\\text{,4142135623730950488016887242096980785696718}&#8230;$<\/p>\n<p>A d\u00edzima de $\\sqrt{2}$ \u00e9 infinita n\u00e3o peri\u00f3dica, por isso $\\sqrt{2}$ n\u00e3o \u00e9 um n\u00famero racional.<\/p>\n<p>A <a href=\"https:\/\/www.acasinhadamatematica.pt\/?page_id=5993\" target=\"_blank\" rel=\"noopener noreferrer\">Ficha de Trabalho<\/a> (vers\u00e3o html) vai permitir acompanhares a demonstra\u00e7\u00e3o da irracionalidade de $\\sqrt{2}$.<\/p>\n<p>L\u00ea tamb\u00e9m o di\u00e1logo &#8230;. M\u00e9non (utiliza a hiperliga\u00e7\u00e3o existente na Ficha de Trabalho).<\/p>\n<ul>\n<li><a href=\"https:\/\/www.acasinhadamatematica.pt\/cm\/af18\/t5\/FT-1.pdf\" target=\"_blank\" rel=\"noopener noreferrer\">Ficha de Trabalho<\/a> em formato pdf<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Como sabes, $\\sqrt{2}=\\text{1}\\text{,4142135623730950488016887242096980785696718}&#8230;$ A d\u00edzima de $\\sqrt{2}$ \u00e9 infinita n\u00e3o peri\u00f3dica, por isso $\\sqrt{2}$ n\u00e3o \u00e9 um n\u00famero racional. A Ficha de Trabalho (vers\u00e3o html) vai permitir acompanhares a demonstra\u00e7\u00e3o da irracionalidade de $\\sqrt{2}$.&#46;&#46;&#46;<\/p>\n","protected":false},"author":1,"featured_media":19191,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[213,97,258],"tags":[426,260,259],"series":[],"class_list":["post-7192","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-9--ano","category-aplicando","category-os-numeros-reais","tag-9-o-ano","tag-menon","tag-numeros-irracionais"],"views":1832,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/11\/IrracSqrt2.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/7192","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=7192"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/7192\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/19191"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=7192"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=7192"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=7192"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=7192"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}