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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. (iii) 396Prime factorizing 396 We see that , 396 = 2 × 2 × 3 × 3 × 11 Since 11 does not occur in pairs, we divide by 11 to make it a pair So, our number becomes 396 × 𝟏/𝟏𝟏 = 2 × 2 × 3 × 3 × 11 × 𝟏/𝟏𝟏 36 = 2 × 2 × 3 × 3 Square root of 36 :- ∴ √36 = 2 × 3 = 6 ∴ The smallest whole number to be divided = 11 and square root of new number = 6

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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