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Question

The least number by which 425 must be multiplied to make it a perfect square is


A

17

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B

15

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C

5

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D

3

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Solution

The correct option is A

17


425 = 5 × 5 × 17


Here, prime factor 17 does not have its pair. If 17 gets a pair, then the number will becomes a perfect square.

Thus, 425 × 17 = 5 × 5 × 17 × 17 is a perfect square.

Therefore, 17 is the least number by which 425 must be multiplied to make it a perfect square.


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