Question

17 Is 2352 a perfect square? If not, find the smallest number by which 2352 must be multiplied so that the product is a perfect square. Find the square root of new number.

Answer 1

hey
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“First of all we need to find the prime factorisation of 2352...”

♦ Prime factorisation of 2352
= 2×2×2×2×7×7×3

Smallest no. to be multiplied = 3

So, 2352×3 = 2×2×2×2×7×7×3×3

Therefore,
√7056 = √2×2×2×2×7×7×3×3
√7056 = 2×2×7×3
√7056 = 84
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