Question

Find the square root of $97344$ by prime factorization method.

Answer 1

The given number is $97344$

By prime factorisation, we get,

$97344=2\times 2\times 2\times 2\times 2\times 2\times 3\times 3\times 13\times 13$

$\therefore \sqrt{97344}=\sqrt{2\times 2\times 2\times 2\times 2\times 2\times 3\times 3\times 13\times 13}$

$\therefore \sqrt{97344}=2\times 2\times 2\times 3\times 13$

$=312$

Hence, the square root is $312$