3<\/sup> = 8]<\/p>\nQuestion 3. \nYou are told that 1,331 is a perfect cube. Can you guess without factorization what is its cube root? Similarly, guess the cube roots of 4913, 12167, 32768. \nSolution: \n(i) Separating the given number 1331 into two groups. \n1 and 331 \n331 ends in 1 \nunit digit of the cube root = 1 \nTens digit of the cube root = 1 \n\\(\\sqrt[3]{1331}\\) = 11<\/p>\n
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(ii) Cube root of 4913 \nSeparating the given number 4913 in two groups i.e. 4 and 913 \nIn this case, 913 has three-digit and 4 has only one digit \nThe digit 3 is at its own place. We take the one\u2019s place of the required cube root as 7. \nTake the other group i.e. 4, a cube of 1 is 1, and a cube of 2 is 8. 4 lies between 1 and 8. \nThe smaller number among 1 and 2 is 1 \nThe one place of 1 is 1 itself. \nTake 1 as ten\u2019s place of the cube root of 4913. \n\\(\\sqrt[3]{4913}\\) = 17<\/p>\n
(iii) Cube root of 12167 \nSeparating 12167 in two groups i.e. 12 and 167 \nThe digit 7 is at its one’s place. We take the one\u2019s place of required cube root as 3. \nThe unit digit of the cube root = 3 \nTake the other group i.e. 12 Cube of 2 is 8 and cube of 3 is 27. 12 lies between 8 and 27 \nThe smaller among 2 and 3 is 2 \nThe one place is 2 itself. \nTake 2 as ten\u2019s place of the cube root of 12167. \n\\(\\sqrt[3]{12167}\\) = 23<\/p>\n
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(iv) Cube root of 32768 \nSeparating 32768 in two groups i.e. 32 and 768 \nTake 768 \nThe digit 8 is at its one\u2019s place so, the one\u2019s place of the required cube root is 2. \nTake the other group i.e. 32 \nThe cube of 3 is 27 and the cube of 4 is 64. \n32 lies between 27 and 64. \nThe smaller number between 3 and 4 is 3 \nTake 3 as ten\u2019s place of the cube root of 32768 \n\\(\\sqrt[3]{32768}\\) = 32<\/p>\n","protected":false},"excerpt":{"rendered":"
These NCERT Solutions for Class 8 Maths Chapter 7 Cube and Cube Roots Ex 7.2 Questions and Answers are prepared by our highly skilled subject experts. NCERT Solutions for Class 8 Maths Chapter 7 Cube and Cube Roots Exercise 7.2 Question 1. Find the cube root of each of the following numbers by prime factorisation …<\/p>\n
NCERT Solutions for Class 8 Maths Chapter 7 Cube and Cube Roots Ex 7.2<\/span> Read More »<\/a><\/p>\n","protected":false},"author":9,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"default","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":"","theme-transparent-header-meta":"default","adv-header-id-meta":"","stick-header-meta":"default","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","spay_email":""},"categories":[7],"tags":[],"yoast_head":"\nNCERT Solutions for Class 8 Maths Chapter 7 Cube and Cube Roots Ex 7.2 - MCQ Questions<\/title>\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n\t \n\t \n\t \n