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Question
Is 176 a perfect square? If not, find the smallest number by which it should be multiplied to get a perfect square.
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Solution
Given: 176
Factors of 176 = 2 × 2 × 2 × 2 × 11
As we see, 11 do not have a pair.
Hence 176 should be multiply with 11 to get perfect square.
⇒ 176 × 11 = 2 × 2 × 2 × 2 × 11 × 11
⇒ 1936 = 22 × 22 × 112
⇒ 1936 = 442
Which is perfect square of 44.
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