Ex 5.3, 5 (i) - Chapter 5 Class 8 Squares and Square Roots

Last updated at April 16, 2024 by

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Ex 5.3, 5 For each of the following numbers, find the smallest whole number by which it should be multiplied so as to get a perfect square number. Also find the square root of the square number so obtained. (i) 252 Prime factorizing 252 By prime factorization, 252 = 2 × 2 × 3 × 3 × 7 Since 7 does not occur in pair, we multiply by 7 to make it a pair So, our number becomes 252 × 7 = 2 × 2 × 3 × 3 × 7 × 7 1764 = 2 × 2 × 3 × 3 × 7 × 7 Square root of 1764 ∴ √1764 = 2 × 3 × 7 = 2 × 21 = 42 ∴ The smallest whole number to be multiplied = 7 and square root of new number = 42

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.