{"id":136866,"date":"2024-09-11T12:09:52","date_gmt":"2024-09-11T12:09:52","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=136866"},"modified":"2024-09-11T12:09:54","modified_gmt":"2024-09-11T12:09:54","slug":"which-of-the-following-is-the-best-approximation-of-10-times-the-positive-square-root-of-20","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/09\/11\/which-of-the-following-is-the-best-approximation-of-10-times-the-positive-square-root-of-20\/","title":{"rendered":"Which of the following is the best approximation of 10 times the positive square root of 20"},"content":{"rendered":"\n

Which of the following is the best approximation of 10 times the positive square root of 20?<\/p>\n\n\n\n

A.
100.0<\/p>\n\n\n\n

B.
44.7<\/p>\n\n\n\n

C.
200.0<\/p>\n\n\n\n

D.
89.4<\/p>\n\n\n\n

The correct answer and Explanation is :<\/strong><\/mark><\/p>\n\n\n\n

Let’s break this down step by step to find the best approximation of 10 times the positive square root of 20.<\/p>\n\n\n\n

Step 1: Find the square root of 20<\/h3>\n\n\n\n

To calculate the square root of 20, we use a calculator or approximate manually. We know that:<\/p>\n\n\n\n

[
\\sqrt{16} = 4 \\quad \\text{and} \\quad \\sqrt{25} = 5
]<\/p>\n\n\n\n

Since 20 is between 16 and 25, its square root will be between 4 and 5. By using a calculator:<\/p>\n\n\n\n

[
\\sqrt{20} \\approx 4.472
]<\/p>\n\n\n\n

Step 2: Multiply by 10<\/h3>\n\n\n\n

Next, multiply the square root of 20 by 10:<\/p>\n\n\n\n

[
10 \\times \\sqrt{20} = 10 \\times 4.472 = 44.72
]<\/p>\n\n\n\n

Step 3: Compare with the answer choices<\/h3>\n\n\n\n

Now, we compare our calculated value (44.72) to the given options:<\/p>\n\n\n\n

    \n
  • A. 100.0<\/li>\n\n\n\n
  • B. 44.7<\/li>\n\n\n\n
  • C. 200.0<\/li>\n\n\n\n
  • D. 89.4<\/li>\n<\/ul>\n\n\n\n

    The closest option is B. 44.7<\/strong>.<\/p>\n\n\n\n

    Explanation:<\/h3>\n\n\n\n

    The square root of 20 is a value between 4 and 5, which we calculated as approximately 4.472. When multiplied by 10, this gives us about 44.72. The correct approximation is 44.7<\/strong>.<\/p>\n\n\n\n

      \n
    • Option A (100.0) and Option C (200.0) are much larger than the correct value.<\/li>\n\n\n\n
    • Option D (89.4) is roughly double the correct answer, so it’s also incorrect.<\/li>\n<\/ul>\n\n\n\n

      Therefore, the correct answer is B. 44.7<\/strong>. This method of approximation uses both a rough estimate and a calculator-based precise value to ensure accuracy.<\/p>\n","protected":false},"excerpt":{"rendered":"

      Which of the following is the best approximation of 10 times the positive square root of 20? A.100.0 B.44.7 C.200.0 D.89.4 The correct answer and Explanation is : Let’s break this down step by step to find the best approximation of 10 times the positive square root of 20. Step 1: Find the square root […]<\/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-136866","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/136866","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=136866"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/136866\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=136866"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=136866"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=136866"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}