Question

Find the square root of the following numbers by the factorisation numbers : 1296

Answer 1

Resolving $1296$ as the product of primes, we get

$\Rightarrow 1296=2^4\times 3^4$

$\Rightarrow \sqrt{1296}=\sqrt{2^4\times 3^4}=2^2\times 3^2$

$\therefore \sqrt{1296}=36.$