Question

Is 176 a perfect square? If not, find the smallest number by which it should be multiplied to get a perfect square.

Answer 1

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.