Question

How do you find the square root $52$?

Answer 1

Step -1: Find the prime factor of $52$:

The prime factors of $52$ are

$52=2\times 2\times 13$

Step 2. Find the square root using prime factorization method:

The the square root of $52$ is

$\begin{array}{rcl}52& =& 2\times 2\times 13\\ & \Rightarrow & \sqrt{52}=\sqrt{2\times 2\times 13}\\ & \Rightarrow & \sqrt{52}=2\sqrt{13}\end{array}$

Hence, the square root of $\mathbf{52}$ is $\mathbf{2}\sqrt{\mathbf{13}}$.