Question

Find the square root of $10404$ by prime factorization method.

Answer 1

Prime factors of $10404$ are,

$10404=2\times 2\times 3\times 3\times 17\times 17$

Now,

$\sqrt{10404}=\sqrt{2\times 2\times 3\times 3\times 17\times 17}$

$\sqrt{10404}=2\times 3\times 17$

Therefore, the Square root of $10404$ will be $2\times 3\times 17=102$