{"id":156862,"date":"2024-10-17T17:15:15","date_gmt":"2024-10-17T17:15:15","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=156862"},"modified":"2024-10-17T17:15:18","modified_gmt":"2024-10-17T17:15:18","slug":"where-is-%e2%88%9a95-located-on-a-number-line","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/10\/17\/where-is-%e2%88%9a95-located-on-a-number-line\/","title":{"rendered":"Where is \u221a95 located on a number line"},"content":{"rendered":"\n<p>Where is \u221a95 located on a number line?<\/p>\n\n\n\n<p><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-6-color\"><strong>The Correct Answer and Explanation is :<\/strong><\/mark><\/p>\n\n\n\n<p>The correct answer is: <mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-3-color\"><strong>9.74<\/strong><\/mark><\/p>\n\n\n\n<p>To locate \u221a95 on a number line, we first need to find its approximate value. We know that:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>(9^2 = 81)<\/li>\n\n\n\n<li>(10^2 = 100)<\/li>\n<\/ul>\n\n\n\n<p>Since (95) is between (81) and (100), we can conclude that:<\/p>\n\n\n\n<p>[<br>9 &lt; \\sqrt{95} &lt; 10<br>]<\/p>\n\n\n\n<p>To get a more precise approximation, we can try some decimal values between (9) and (10):<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>(9.5^2 = 90.25) (too low)<\/li>\n\n\n\n<li>(9.6^2 = 92.16) (still too low)<\/li>\n\n\n\n<li>(9.7^2 = 94.09) (still too low)<\/li>\n\n\n\n<li>(9.8^2 = 96.04) (too high)<\/li>\n<\/ul>\n\n\n\n<p>From this, we can narrow it down to:<\/p>\n\n\n\n<p>[<br>9.7 &lt; \\sqrt{95} &lt; 9.8<br>]<\/p>\n\n\n\n<p>To refine it further, we can try (9.74):<\/p>\n\n\n\n<p>[<br>9.74^2 = 94.8276 \\quad (\\text{still too low})<br>]<\/p>\n\n\n\n<p>Next, try (9.75):<\/p>\n\n\n\n<p>[<br>9.75^2 = 95.0625 \\quad (\\text{too high})<br>]<\/p>\n\n\n\n<p>So, we can determine that:<\/p>\n\n\n\n<p>[<br>9.74 &lt; \\sqrt{95} &lt; 9.75<br>]<\/p>\n\n\n\n<p>Thus, we can approximate (\\sqrt{95} \\approx 9.74).<\/p>\n\n\n\n<p>Now, on a number line, we can represent this by marking points for (9.7\\) and (9.8) and placing \u221a95 slightly to the right of (9.74), indicating its approximate location.<\/p>\n\n\n\n<p>When visualizing this on a number line, you would draw a horizontal line and label points, marking (9.7) and (9.8) as reference points. The square root of (95) will be placed just a little to the right of (9.74), illustrating its value relative to those benchmark numbers. This method of estimation is valuable for understanding square roots and their positions on a number line.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Where is \u221a95 located on a number line? The Correct Answer and Explanation is : The correct answer is: 9.74 To locate \u221a95 on a number line, we first need to find its approximate value. We know that: Since (95) is between (81) and (100), we can conclude that: [9 &lt; \\sqrt{95} &lt; 10] To [&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-156862","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/156862","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=156862"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/156862\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=156862"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=156862"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=156862"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}