{"id":11268,"date":"2012-11-12T00:22:21","date_gmt":"2012-11-12T00:22:21","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=11268"},"modified":"2022-01-02T14:40:58","modified_gmt":"2022-01-02T14:40:58","slug":"indica-o-numero","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=11268","title":{"rendered":"Indica o n\u00famero"},"content":{"rendered":"<p><ul id='GTTabs_ul_11268' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_11268' class='GTTabs_curr'><a  id=\"11268_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_11268' ><a  id=\"11268_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_11268'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<ol>\n<li>Indica o n\u00famero inteiro mais pr\u00f3ximo de $\\sqrt {17} $.<\/li>\n<li>Indica os n\u00fameros inteiros consecutivos entre os quais se encontra $\\sqrt {40} $.<\/li>\n<\/ol>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_11268' onClick='GTTabs_show(1,11268)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_11268'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<ol>\n<li>\u00a0O n\u00famero $17$ est\u00e1 compreendido entre os quadrados perfeitos $16$ e $25$, verificando-se:<br \/>\n$$\\begin{array}{*{20}{c}}<br \/>\n{16}&amp; &lt; &amp;{17}&amp; &lt; &amp;{25} \\\\<br \/>\n{\\sqrt {16} }&amp; &lt; &amp;{\\sqrt {17} }&amp; &lt; &amp;{\\sqrt {25} } \\\\<br \/>\n4&amp; &lt; &amp;{\\sqrt {17} }&amp; &lt; &amp;5<br \/>\n\\end{array}$$<br \/>\nNo entanto, como $17$ \u00e9 muito mais pr\u00f3ximo de $16$ do que $25$, $\\sqrt {17} $ est\u00e1 mais pr\u00f3xima de ${\\sqrt {16} }$ do que de ${\\sqrt {25} }$.<br \/>\nLogo, o n\u00famero inteiro mais pr\u00f3ximo de $\\sqrt {17} $ \u00e9 $4$, o que se pode confirmar calculando o valor aproximado de ${\\sqrt {17} }$: $\\sqrt {17}\u00a0 = 4,12310562&#8230;$.<br \/>\n\u00ad<\/li>\n<li>Como $40$ est\u00e1 compreendido entre os quadrados perfeitos consecutivos $36$ e $49$, ent\u00e3o $\\sqrt {40} $ est\u00e1 compreendido entre os inteiros consecutivos $\\sqrt {36}\u00a0 = 6$ e $\\sqrt {49}\u00a0 = 7$.<\/li>\n<\/ol>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_11268' onClick='GTTabs_show(0,11268)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado Indica o n\u00famero inteiro mais pr\u00f3ximo de $\\sqrt {17} $. Indica os n\u00fameros inteiros consecutivos entre os quais se encontra $\\sqrt {40} $. Resolu\u00e7\u00e3o &gt;&gt; Resolu\u00e7\u00e3o &lt;&lt; Enunciado<\/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":[317,97,318],"tags":[319,340,339],"series":[],"class_list":["post-11268","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-7-o-ano","category-aplicando","category-numeros-inteiros","tag-numeros-inteiros-2","tag-quadrado-perfeito","tag-raiz-quadrada"],"views":1896,"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\/11268","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=11268"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/11268\/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=11268"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=11268"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=11268"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=11268"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}