Question

Find the root of $5929$ by the Prime Factorisation Method

Answer 1

Find the square root by prime factorisation method:

Given number, $5929$

Factorisation,

$\therefore 5929=11\times 11\times 7\times 7$

So, the square root of $5929$ is

$$\begin{gathered} 5929=7\times 7\times 11\times 11 \\ \Rightarrow \sqrt{5929}=\sqrt{7\times 7\times 11\times 11} \\ \Rightarrow \sqrt{5929}=11\times 7 \\ \therefore \sqrt{5929}=77 \end{gathered}$$

Hence, the square root of $5929$ is $77$.