1008 can be factorised as follows. 1008 = 2 × 2 × 2 × 2 × 3 × 3 × 7 Here, prime factor 7 does not have its pair. If 7 gets a pair, then the number will become a perfect square. Therefore, 1008 can be multiplied with 7 to obtain a perfect square. 1008 × 7 = 7056 = 2 × 2 ×2 × 2 × 3 × 3 × 7 × 7 Therefore, 1008 × 7 = 7056 is a perfect square. ∴ `sqrt(7056)` = 2 x 2 x 3 x 7 = 84 |