Question

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 (ii) 1008 (iii) 2028

Answer 1

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Hence, the smallest number by which 180 must be multiplied so that the product is a perfect square is 5. And the square root of the new number is √900=30. Here, 2 and 3 are in pair, but 7 needs a pair to make 1008 a perfect square. Thus, 1008 needs to be multiplied by 7 to become a perfect square

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Answer 2

Answer:

The smallest number by which 180 must be multiplied so that the product is a perfect square is 5. And the square root of the new number is √900=30. Here, 2 and 3 are in pair, but 7 needs a pair to make 1008 a perfect square. Thus, 1008 needs to be multiplied by 7 to become a perfect square.

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