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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. (vi) 1620Prime factorizing 1620 We see that , 2800 = 2 × 2 × 3 × 3 × 3 × 3 × 5 Since 5 does not occur in pairs, we divide by 5 to make it a pair So, our number becomes 1620 × 𝟏/𝟓 = 2 × 2 × 3 × 3 × 3 × 3 × 5 × 𝟏/𝟓 324 = 2 × 2 × 3 × 3 × 3 × 3 Square root of 324 :- ∴ √324 = 2 × 3 × 3 = 18 ∴ The smallest whole number to be divided = 5 and square root of new number = 18

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Davneet Singh

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 and Computer Science at Teachoo