Question

Find the square root of the following number by factorisation.
$10404$

Answer 1

From the factorization method we get.

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

$\frac{10404}{\sqrt{10404}}=\frac{2^2\times 3^x\times {17}^2}{\sqrt{2^2{.3}^2.{17}^2}}$

So, $\sqrt{10404}=\mathrm{2.3.17}=102$

So, the square root of $10404$ is $102$.