For each of the following, find the smallest number by which it should be multiplied so as to get a perfect square. Also find the square root of the square number so obtained. (i) 147 (ii) 1008 (iii) 2028 For each of the following number, find the smallest number by which it should be divided so as o get a perfect square. Also find the square root of the square number so obtained. 180 (ii) 3645 (iii) 450
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(i) 147 - Prime factorize 147: \(147 = 3 \times 7 \times 7\). - To make it a perfect square, multiply by 3: \(147 \times 3 = 441\). - Square root of 441 is 21. (ii) 1008 - Prime factorize 1008: \(1008 = 2^4 \times 3^2 \times 7\). - To make it a perfect square, Show more…
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