Question

using prime factorization find smallest number on dividing by which 8712 will yield a perfect square also find the square root of perfect square also find the square root of perfect square thus obtained

Answer 1

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Answer 2

Hi friend,
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first of all you need to do this(as shown in the attachment) ....

Prime factorisation of
8712 = 2×2×2×3×3×11×11

Smallest no. to be divided = 2(as it is not in pair)

8712/2 = 2×2×2×3×3×11×11/2

Therefore,
√4356 = √2×2×3×3×11×11
= 2×3×11
= 66
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