Question

Find the square root of the following numbers by factorization $256$

Answer 1

Prime Factors of $256$ are

$256=2\times 2\times 2\times 2\times 2\times 2\times 2\times 2$

Taking one prime number put from each pair we get:

$\sqrt{256}=2\times 2\times 2\times 2$

Hence, $\sqrt{256}=16$