Question

Evaluate $\sqrt{7056}$.

Answer 1

$7056=$ $\underset{–}{2\times 2}\times \underset{–}{2\times 2}\times \underset{–}{3\times 3}\times \underset{–}{7\times 7}$

Thus, $\sqrt{7056}=$ $\sqrt{\underset{–}{2\times 2}\times \underset{–}{2\times 2}\times \underset{–}{3\times 3}\times \underset{–}{7\times 7}}$
Here, In every pair of integers, we take only one integer to remove the square root.

$\Rightarrow \sqrt{7056}=2\times 2\times 3\times 7$
$\therefore \sqrt{7056}=84$