Question

...For each of the following numbers, find the smallest 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) 180
(iii) 1008
(iv) 2028
(v) 1458
(vi) 768​

Answer 1

BELOW

Explanation:

252 : multiply it by 7 to get 1764 and its square root is 42.

180: multiply it by 5 to get 900 and its square root is 30.

1008: multiply it by 7 to get 7056 and its square root is 84.

2028: multiply it by 3 to get 6084 and its square root is 78.

1458: multiply it by 2 to get 2916 and its square root is 54.

768: multiply it by 3 to get 2304 and its square root is 48.

A number should be a perfect square if its square root is a whole number. The square roots should be integers.

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