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Question

The smallest number by which 252 must be multiplied so that the resultant is a perfect square is:


A
2
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B
3
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C
5
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D
7
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Solution

The correct option is D 7
The prime factorisation of is:
252=2×2×3×3×7

Since the prime factors of a square number exist in pairs, 252 must be multiplied by 7 so that the resultant has the three prime factors - 2, 3 and 7 - in pairs.

Mathematics

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