{"id":22882,"date":"2022-11-02T16:24:56","date_gmt":"2022-11-02T16:24:56","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=22882"},"modified":"2022-11-03T22:55:49","modified_gmt":"2022-11-03T22:55:49","slug":"qual-e-o-numero-irracional","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=22882","title":{"rendered":"Qual \u00e9 o n\u00famero irracional?"},"content":{"rendered":"\n\n\n<p><ul id='GTTabs_ul_22882' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_22882' class='GTTabs_curr'><a  id=\"22882_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_22882' ><a  id=\"22882_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_22882'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p>Apenas um dos quatro n\u00fameros que se seguem \u00e9 um n\u00famero irracional. Qual?<\/p>\n<p><strong>[A]<\/strong> \\(\\sqrt {\\frac{1}{{16}}} \\)\u00a0 \u00a0 \u00a0 <strong>[B]<\/strong> \\(\\sqrt {0,16} \\)\u00a0 \u00a0 \u00a0 <strong>[C]<\/strong>\u00a0\\(\\frac{1}{{16}}\\)\u00a0 \u00a0 \u00a0 <strong>[D]<\/strong> \\(\\sqrt {1,6} \\)<\/p>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_22882' onClick='GTTabs_show(1,22882)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_22882'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<blockquote>\n<p>Recorda-se que os n\u00fameros racionais podem ser representados na forma de fra\u00e7\u00e3o, quer na forma de d\u00edzima finita ou infinita peri\u00f3dica.<\/p>\n<\/blockquote>\n<p>Ora, sabe-se:<\/p>\n<table style=\"border-collapse: collapse;\">\n<tbody>\n<tr>\n<td>A<\/td>\n<td>\\(\\sqrt {\\frac{1}{{16}}} \\)<\/td>\n<td>\\(\\sqrt {\\frac{1}{{16}}} = \\frac{1}{4} = 0,25\\)<\/td>\n<td>N\u00famero racional<\/td>\n<\/tr>\n<tr>\n<td>B<\/td>\n<td>\\(\\sqrt {0,16} \\)<\/td>\n<td>\\(\\sqrt {0,16} = \\sqrt {\\frac{{16}}{{100}}} = \\frac{4}{{10}} = \\frac{2}{5} = 0,4\\)<\/td>\n<td>N\u00famero racional<\/td>\n<\/tr>\n<tr>\n<td>C<\/td>\n<td>\\(\\frac{1}{{16}}\\)<\/td>\n<td>\\(\\frac{1}{{16}} = \\frac{1}{{{2^4}}} \\times \\frac{{{5^4}}}{{{5^4}}} = \\frac{{625}}{{10\\,000}} = 0,0625\\)<\/td>\n<td>N\u00famero racional<\/td>\n<\/tr>\n<tr>\n<td>D<\/td>\n<td>\\(\\sqrt {1,6} \\)<\/td>\n<td>\\(\\sqrt {1,6} = \\sqrt {\\frac{{16}}{{10}}} \\)<br \/>(Ainda que \\({16}\\) seja um quadrado perfeito, o n\u00famero \\({10}\\) n\u00e3o \u00e9.<\/td>\n<td>N\u00famero irracional<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>Portanto, a op\u00e7\u00e3o correta \u00e9 <strong>[D]<\/strong> \\(\\sqrt {1,6} \\).<\/p>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_22882' onClick='GTTabs_show(0,22882)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado Apenas um dos quatro n\u00fameros que se seguem \u00e9 um n\u00famero irracional. Qual? [A] \\(\\sqrt {\\frac{1}{{16}}} \\)\u00a0 \u00a0 \u00a0 [B] \\(\\sqrt {0,16} \\)\u00a0 \u00a0 \u00a0 [C]\u00a0\\(\\frac{1}{{16}}\\)\u00a0 \u00a0 \u00a0 [D] \\(\\sqrt {1,6}&#46;&#46;&#46;<\/p>\n","protected":false},"author":1,"featured_media":19173,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[100,97,664],"tags":[424,678,679],"series":[],"class_list":["post-22882","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-8--ano","category-aplicando","category-numeros-reais","tag-8-o-ano","tag-numero-irracional","tag-numero-racional"],"views":237,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2021\/12\/Mat64.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/22882","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=22882"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/22882\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/19173"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=22882"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=22882"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=22882"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=22882"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}