{"id":136272,"date":"2024-09-10T12:44:58","date_gmt":"2024-09-10T12:44:58","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=136272"},"modified":"2024-09-10T12:44:58","modified_gmt":"2024-09-10T12:44:58","slug":"which-of-the-following-is-the-best-approximation-of-6-times-the-positive-square-root-of-42","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/09\/10\/which-of-the-following-is-the-best-approximation-of-6-times-the-positive-square-root-of-42\/","title":{"rendered":"Which of the following is the best approximation of 6 times the positive square root of 42"},"content":{"rendered":"\n<p>Which of the following is the best approximation of 6 times the positive square root of 42?<\/p>\n\n\n\n<p>A.<br>60.3<\/p>\n\n\n\n<p>B.<br>44.7<\/p>\n\n\n\n<p>C.<br>30.0<\/p>\n\n\n\n<p>D.<br>38.9<\/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>To determine the best approximation of 6 times the positive square root of 42, let\u2019s break down the problem step by step.<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Calculate the Square Root of 42:<\/strong>\n<ul class=\"wp-block-list\">\n<li>First, we need to find the square root of 42. Using a calculator or estimation techniques: 42\u22486.4807\\sqrt{42} \\approx 6.480742\u200b\u22486.4807<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>Multiply by 6:<\/strong>\n<ul class=\"wp-block-list\">\n<li>Now, we multiply this result by 6 to find 6\u00d7426 \\times \\sqrt{42}6\u00d742\u200b: 6\u00d76.4807\u224838.88426 \\times 6.4807 \\approx 38.88426\u00d76.4807\u224838.8842<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>Compare with the Given Options:<\/strong><ul><li>We now compare our calculated result with the provided options:<ul><li><strong>A. 60.3<\/strong><\/li><li><strong>B. 44.7<\/strong><\/li><li><strong>C. 30.0<\/strong><\/li><li><strong>D. 38.9<\/strong><\/li><\/ul><\/li><\/ul>The closest approximation to 38.8842 among the choices is 38.9.<\/li>\n<\/ol>\n\n\n\n<h3 class=\"wp-block-heading\">Detailed Explanation<\/h3>\n\n\n\n<p>To ensure accuracy, let&#8217;s verify each step:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Square Root of 42:<\/strong>\n<ul class=\"wp-block-list\">\n<li>Square roots are often approximated or calculated using numerical methods. The exact square root of 42 falls between 6.4 and 6.5. More precisely, 42\\sqrt{42}42\u200b is around 6.4807. This value can be verified using a scientific calculator or mathematical software.<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>Multiplication:<\/strong><ul><li>Multiplying 6 by the approximate square root value: 6\u00d76.4807=38.88426 \\times 6.4807 = 38.88426\u00d76.4807=38.8842<\/li><\/ul>This value is rounded to four decimal places.<\/li>\n\n\n\n<li><strong>Option Comparison:<\/strong>\n<ul class=\"wp-block-list\">\n<li>Comparing our result with the options, we notice:\n<ul class=\"wp-block-list\">\n<li>60.3 is much higher than 38.8842.<\/li>\n\n\n\n<li>44.7 is also higher but closer than 60.3.<\/li>\n\n\n\n<li>30.0 is lower and further away.<\/li>\n\n\n\n<li>38.9 is the nearest to our calculated value of 38.8842.<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<\/li>\n<\/ol>\n\n\n\n<p>Thus, the closest approximation to 6 times the positive square root of 42 is <strong>D. 38.9<\/strong>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Which of the following is the best approximation of 6 times the positive square root of 42? A.60.3 B.44.7 C.30.0 D.38.9 The Correct Answer and Explanation is: To determine the best approximation of 6 times the positive square root of 42, let\u2019s break down the problem step by step. Detailed Explanation To ensure accuracy, let&#8217;s [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"","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-136272","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/136272","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=136272"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/136272\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=136272"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=136272"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=136272"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}