Find the square root of 361 by the Prime Factorisation Method.

To find the square root we will do the prime factorization of 361.

$361=19\times 19$

Taking square root on both sides, we get:

$\sqrt{361}=\sqrt{19\times 19}$

$\Rightarrow \sqrt{361}=19$

Hence the square root of 361 is 19.