Question

Find the square root of a number $7744$ by Prime Factorisation Method.

Answer 1

Using prime factorisation method, we have

$7744=2\times 2\times 2\times 2\times 2\times 2\times 11\times 11$

$\Rightarrow 7744=2^2\times 2^2\times 2^2\times {11}^2$

Taking square root, we have
$\sqrt{7744}=\sqrt{2^2\times 2^2\times 2^2\times {11}^2}$

$=2\times 2\times 2\times 11$
$=88$