{"id":152804,"date":"2024-10-11T22:31:11","date_gmt":"2024-10-11T22:31:11","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=152804"},"modified":"2024-10-11T22:31:13","modified_gmt":"2024-10-11T22:31:13","slug":"which-integer-is-closest-to-%e2%88%9a55","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/10\/11\/which-integer-is-closest-to-%e2%88%9a55\/","title":{"rendered":"Which integer is closest to \u221a55"},"content":{"rendered":"\n<p>Which integer is closest to \u221a55 ?<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-6-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p>The integer closest to \u221a55 is <strong>7<\/strong>.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation:<\/h3>\n\n\n\n<p>To determine the integer closest to \u221a55, we first need to estimate the value of \u221a55 and find out which whole number it is nearest to.<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Identify perfect squares around 55:<\/strong><\/li>\n<\/ol>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The perfect square less than 55 is 49, and its square root is 7 (since 7 \u00d7 7 = 49).<\/li>\n\n\n\n<li>The perfect square greater than 55 is 64, and its square root is 8 (since 8 \u00d7 8 = 64).<\/li>\n<\/ul>\n\n\n\n<p>Therefore, we know that \u221a55 lies between 7 and 8, as 49 &lt; 55 &lt; 64.<\/p>\n\n\n\n<ol start=\"2\" class=\"wp-block-list\">\n<li><strong>Narrow down the value:<\/strong><\/li>\n<\/ol>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Next, we can estimate the square root of 55. Using a calculator, \u221a55 \u2248 7.416.<\/li>\n<\/ul>\n\n\n\n<ol start=\"2\" class=\"wp-block-list\">\n<li><strong>Compare to the nearest integers:<\/strong><\/li>\n<\/ol>\n\n\n\n<ul class=\"wp-block-list\">\n<li>The value of \u221a55 is approximately 7.416, which is closer to 7 than 8. To confirm, let&#8217;s calculate the squares of the integers 7 and 8:<ul><li>7 \u00d7 7 = 49<\/li><li>8 \u00d7 8 = 64<\/li><\/ul>Now, let&#8217;s check the difference:<\/li>\n\n\n\n<li>The difference between 55 and 49 (7\u00b2) is 55 &#8211; 49 = 6.<\/li>\n\n\n\n<li>The difference between 64 (8\u00b2) and 55 is 64 &#8211; 55 = 9.<\/li>\n<\/ul>\n\n\n\n<p>Since 6 is smaller than 9, the square root of 55 is closer to 7 than to 8.<\/p>\n\n\n\n<ol start=\"4\" class=\"wp-block-list\">\n<li><strong>Conclusion:<\/strong><\/li>\n<\/ol>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Based on this, the integer closest to \u221a55 is <strong>7<\/strong>, because \u221a55 is approximately 7.416, and it is nearer to 7 than to 8.<\/li>\n<\/ul>\n\n\n\n<p>By understanding the placement of \u221a55 between perfect squares and comparing the distances to the nearest integers, we confirm that 7 is the closest integer.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Which integer is closest to \u221a55 ? The Correct Answer and Explanation is: The integer closest to \u221a55 is 7. Explanation: To determine the integer closest to \u221a55, we first need to estimate the value of \u221a55 and find out which whole number it is nearest to. Therefore, we know that \u221a55 lies between 7 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-152804","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/152804","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=152804"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/152804\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=152804"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=152804"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=152804"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}