Question

Find the root of $8100$ by the Prime Factorisation Method.

Answer 1

Find square root by prime factorisation method

Given number, $8100$

Factorisation,

$\therefore 8100=2\times 2\times 3\times 3\times 3\times 3\times 5\times 5$

So, the square root of $8100$ is

$$\begin{gathered} 8100=2\times 2\times 3\times 3\times 3\times 3\times 5\times 5 \\ \Rightarrow \sqrt{8100}=\sqrt{2\times 2\times 3\times 3\times 3\times 3\times 5\times 5} \\ \Rightarrow \sqrt{8100}=2\times 3\times 3\times 5 \\ \therefore \sqrt{8100}=90 \end{gathered}$$

Hence, the square root of $8100$ is $90$.