Factors of 216 = 2 × 2 × 2 × 3 × 3 × 3
Now, grouping the prime factors = (2 × 2) × 2 × (3 × 3) × 3
Factors 2 and 3 has no pair.
∴216 is not a perfect square.
The smallest number it should be divided to get a perfect square is 3 × 2 = 6.
Then,
= 216 ÷ 6
= 36
Factors of 36 = 6 × 6
√36 = √(6× 6)
= √(6)
= 6
∴ 36 is a perfect square and 6 is the square root of 36.
