Question

Find the smallest whole number by which 27 should be multiplied so as to get a perfect square number.

• A. 2
• B. 3
• C. 4
• D. None of the above

Answer 1

The correct option is B 3

Let's express 27 as product of prime factors
27 = 3 × 3 × 3
So the smallest number by which 27 should be multipled to get a perfect square is 3.
Hence, 27 × 3 = 3 × 3 × 3 × 3
⇒ 81 = (3 × 3) × (3 × 3)
⇒ $\sqrt{81}$ = $\sqrt{(3\times 3)\times (3\times 3)}$
= (3 × 3)
= 9