Find the smallest number by which 1728 be multiplied so that the product is a perfect square

The given number is 1728.The prime factorisation of 1728 is1728 = 2×2×2×2×2×2×3×3×3Since the prime factor 3 does not occur in pair, so the given numberis not a perfect square.In order to make it a perfect square, we should multiply it by 3.Hence , the required number = 3

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