{"id":22893,"date":"2022-11-02T18:07:36","date_gmt":"2022-11-02T18:07:36","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=22893"},"modified":"2022-11-03T00:04:38","modified_gmt":"2022-11-03T00:04:38","slug":"dois-numeros-irracionais","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=22893","title":{"rendered":"Dois n\u00fameros irracionais"},"content":{"rendered":"\n<p><ul id='GTTabs_ul_22893' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_22893' class='GTTabs_curr'><a  id=\"22893_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_22893' ><a  id=\"22893_1\" onMouseOver=\"GTTabsShowLinks('Resolu\u00e7\u00e3o'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Resolu\u00e7\u00e3o<\/a><\/li>\n<\/ul>\n\n<div class='GTTabs_divs GTTabs_curr_div' id='GTTabs_0_22893'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p>Qual das op\u00e7\u00f5es seguintes apresenta dois n\u00fameros racionais?<\/p>\n<p><strong>[A]<\/strong> \\(\\sqrt[3]{8}\\); \\(\\pi \\)\u00a0 \u00a0 \u00a0 <strong>[B]<\/strong> \\(\\sqrt[3]{8}\\); \\(\\sqrt[3]{{27}}\\)\u00a0 \u00a0 \u00a0 <strong>[C]<\/strong> \\(\\sqrt 3 \\); \\(\\sqrt[3]{{27}}\\)\u00a0 \u00a0 \u00a0 <strong>[D]<\/strong> \\(\\sqrt 3 \\); \\(\\pi \\)<\/p>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_22893' onClick='GTTabs_show(1,22893)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_22893'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<blockquote>\n<p>Qual das op\u00e7\u00f5es seguintes apresenta dois n\u00fameros racionais?<\/p>\n<p><strong>[A]<\/strong> \\(\\sqrt[3]{8}\\); \\(\\pi \\)\u00a0 \u00a0 \u00a0 <strong>[B]<\/strong> \\(\\sqrt[3]{8}\\); \\(\\sqrt[3]{{27}}\\)\u00a0 \u00a0 \u00a0 <strong>[C]<\/strong> \\(\\sqrt 3 \\); \\(\\sqrt[3]{{27}}\\)\u00a0 \u00a0 \u00a0 <strong>[D]<\/strong> \\(\\sqrt 3 \\); \\(\\pi \\)<\/p>\n<\/blockquote>\n<p>Ora,<\/p>\n<ul style=\"list-style-type: square;\">\n<li>\\(\\sqrt[3]{8}\\) \u00e9 um n\u00famero racional, pois \\(\\sqrt[3]{8} = 2\\), visto que \\(8\\) \u00e9 um cubo perfeito;<\/li>\n<li>\\(\\sqrt[3]{{27}}\\) \u00e9 um n\u00famero racional, pois \\(\\sqrt[3]{{27}} = 3\\), visto que \\(27\\) \u00e9 um cubo perfeito;<\/li>\n<li>\\(\\sqrt 3 \\) \u00e9 um n\u00famero irracional, pois \\(3\\) n\u00e3o \u00e9 um quadrado perfeito;<\/li>\n<li>\\(\\pi \\) \u00e9 um n\u00famero irracional, pois \u00e9 representado por um d\u00edzima infinita n\u00e3o peri\u00f3dica.<\/li>\n<\/ul>\n<p>Portanto, a op\u00e7\u00e3o correta \u00e9 <strong>[D]<\/strong> \\(\\sqrt 3 \\); \\(\\pi \\).<\/p>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_22893' onClick='GTTabs_show(0,22893)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado Qual das op\u00e7\u00f5es seguintes apresenta dois n\u00fameros racionais? [A] \\(\\sqrt[3]{8}\\); \\(\\pi \\)\u00a0 \u00a0 \u00a0 [B] \\(\\sqrt[3]{8}\\); \\(\\sqrt[3]{{27}}\\)\u00a0 \u00a0 \u00a0 [C] \\(\\sqrt 3 \\); \\(\\sqrt[3]{{27}}\\)\u00a0 \u00a0 \u00a0 [D] \\(\\sqrt 3 \\); \\(\\pi&#46;&#46;&#46;<\/p>\n","protected":false},"author":1,"featured_media":19286,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[100,97,664],"tags":[424,259,262],"series":[],"class_list":["post-22893","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-8--ano","category-aplicando","category-numeros-reais","tag-8-o-ano","tag-numeros-irracionais","tag-numeros-racionais"],"views":202,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2021\/12\/Mat104.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/22893","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=22893"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/22893\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/19286"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=22893"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=22893"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=22893"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=22893"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}