Ex 5.3, 6 (v) - Chapter 5 Class 8 Squares and Square Roots

Last updated at April 16, 2024 by

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Ex 5.3, 6 For each of the following numbers, find the smallest whole number by which it should be divided so as to get a perfect square. Also find the square root of the square number so obtained. (v) 2800Prime factorizing 2800 We see that , 2800 = 2 × 2 × 2 × 2 × 5 × 5 × 7 Since 7 does not occur in pairs, we divide by 7 to make it a pair So, our number becomes 2800 × 𝟏/𝟕 = 2 × 2 × 2 × 2 × 5 × 5 × 7 × 𝟏/𝟕 400 = 2 × 2 × 2 × 2 × 5 × 5 Square root of 400 :- ∴ √400 = 2 × 2 × 5 = 20 ∴ The smallest whole number to be divided = 7 and square root of new number = 20

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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.