{"id":250528,"date":"2025-07-10T10:19:00","date_gmt":"2025-07-10T10:19:00","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=250528"},"modified":"2025-07-10T10:19:02","modified_gmt":"2025-07-10T10:19:02","slug":"please-solve-the-problem","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/10\/please-solve-the-problem\/","title":{"rendered":"Please solve the problem"},"content":{"rendered":"\n

Please solve the problem: “2 plus the square root of 41 divided by the square root of 3 minus 2 multiplied by 40.<\/p>\n\n\n\n

The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n

Let’s break down and solve the problem step-by-step:<\/p>\n\n\n\n

The given expression is:<\/strong> 2+413\u22122\u00d7402 + \\frac{\\sqrt{41}}{\\sqrt{3}} – 2 \\times 402+3\u200b41\u200b\u200b\u22122\u00d740<\/p>\n\n\n\n

Step 1: Simplify 2\u00d7402 \\times 402\u00d740<\/h3>\n\n\n\n

First, calculate the multiplication: 2\u00d740=802 \\times 40 = 802\u00d740=80<\/p>\n\n\n\n

Now the expression becomes: 2+413\u2212802 + \\frac{\\sqrt{41}}{\\sqrt{3}} – 802+3\u200b41\u200b\u200b\u221280<\/p>\n\n\n\n

Step 2: Simplify the fraction 413\\frac{\\sqrt{41}}{\\sqrt{3}}3\u200b41\u200b\u200b<\/h3>\n\n\n\n

To simplify this fraction, we can rationalize the denominator. This involves multiplying both the numerator and the denominator by 3\\sqrt{3}3\u200b, so: 413=41\u00d733\u00d73=1233\\frac{\\sqrt{41}}{\\sqrt{3}} = \\frac{\\sqrt{41} \\times \\sqrt{3}}{\\sqrt{3} \\times \\sqrt{3}} = \\frac{\\sqrt{123}}{3}3\u200b41\u200b\u200b=3\u200b\u00d73\u200b41\u200b\u00d73\u200b\u200b=3123\u200b\u200b<\/p>\n\n\n\n

Now the expression becomes: 2+1233\u2212802 + \\frac{\\sqrt{123}}{3} – 802+3123\u200b\u200b\u221280<\/p>\n\n\n\n

Step 3: Approximate 123\\sqrt{123}123\u200b<\/h3>\n\n\n\n

We can approximate the square root of 123. Using a calculator: 123\u224811.09\\sqrt{123} \\approx 11.09123\u200b\u224811.09<\/p>\n\n\n\n

Now substitute this into the expression: 2+11.093\u2212802 + \\frac{11.09}{3} – 802+311.09\u200b\u221280<\/p>\n\n\n\n

Step 4: Divide 11.0911.0911.09 by 3<\/h3>\n\n\n\n

Now, calculate: 11.093\u22483.70\\frac{11.09}{3} \\approx 3.70311.09\u200b\u22483.70<\/p>\n\n\n\n

Step 5: Final Calculation<\/h3>\n\n\n\n

Now substitute this value back into the expression: 2+3.70\u2212802 + 3.70 – 802+3.70\u221280<\/p>\n\n\n\n

Add and subtract: 2+3.70=5.702 + 3.70 = 5.702+3.70=5.70 5.70\u221280=\u221274.305.70 – 80 = -74.305.70\u221280=\u221274.30<\/p>\n\n\n\n

Final Answer:<\/h3>\n\n\n\n

The value of the expression is approximately: \u221274.30\\boxed{-74.30}\u221274.30\u200b<\/p>\n\n\n\n

This is the simplified solution to the given problem.<\/p>\n\n\n\n

\"\"<\/figure>\n","protected":false},"excerpt":{"rendered":"

Please solve the problem: “2 plus the square root of 41 divided by the square root of 3 minus 2 multiplied by 40. The Correct Answer and Explanation is: Let’s break down and solve the problem step-by-step: The given expression is: 2+413\u22122\u00d7402 + \\frac{\\sqrt{41}}{\\sqrt{3}} – 2 \\times 402+3\u200b41\u200b\u200b\u22122\u00d740 Step 1: Simplify 2\u00d7402 \\times 402\u00d740 First, […]<\/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-250528","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/250528","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=250528"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/250528\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=250528"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=250528"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=250528"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}