Find the smallest number by which 1100 must be multiplied so that the product becomes a perfect square. Also find the square root of the perfect square so obtained.​

Answers (1)

By prime factorization method

1100 = 2x2x5x5x11

To be a perfect square, its prime factor should be in pairs.

Hence the smallest number is 11, which we should multiply to get perfect square .

Square root of this perfect square number = 2x5x11 = 110.

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