What is the best approximation of the root of 51?
A. 5.9
B. 5.3
C. 9.2
D. 7.1<\/p>\n\n\n\n
The Correct Answer and Explanation is :<\/strong><\/mark><\/p>\n\n\n\n The correct answer is: D. 7.1<\/strong><\/mark><\/p>\n\n\n\n To approximate the square root of 51, we can analyze the options provided:<\/p>\n\n\n\n A. 5.9 First, we find perfect squares near 51 to guide our estimation. The perfect squares closest to 51 are:<\/p>\n\n\n\n Since (51) lies between (49) and (64), we know that the square root of (51) will be between (7) and (8).<\/p>\n\n\n\n From our options, only (5.9), (5.3), (9.2), and (7.1) fall within this range.<\/p>\n\n\n\n That leaves us with (7.1). To verify if (7.1) is a good approximation for (\\sqrt{51}), we can square (7.1): This is quite close to (51). To further assess accuracy, we can check (7.2) as well: Thus, the best approximation of (\\sqrt{51}) from the options given is D. 7.1<\/strong>. This option falls within the expected range and is closest to the actual value of (\\sqrt{51}), which is approximately (7.14).<\/p>\n","protected":false},"excerpt":{"rendered":" What is the best approximation of the root of 51?A. 5.9B. 5.3C. 9.2D. 7.1 The Correct Answer and Explanation is : The correct answer is: D. 7.1 To approximate the square root of 51, we can analyze the options provided: A. 5.9B. 5.3C. 9.2D. 7.1 Step 1: Identify Perfect Squares First, we find perfect squares […]<\/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-150415","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/150415","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=150415"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/150415\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=150415"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=150415"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=150415"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
B. 5.3
C. 9.2
D. 7.1<\/p>\n\n\n\nStep 1: Identify Perfect Squares<\/h3>\n\n\n\n
\n
Step 2: Narrow Down the Options<\/h3>\n\n\n\n
\n
Step 3: Compare the Remaining Option<\/h3>\n\n\n\n
[
7.1^2 = 50.41
]<\/p>\n\n\n\n
[
7.2^2 = 51.84
]
This indicates that (\\sqrt{51}) is indeed between (7.1) and (7.2). Since (7.1) yields (50.41), it is the best approximation provided in the options.<\/p>\n\n\n\nConclusion<\/h3>\n\n\n\n