Question

How do you find the square root $56$ in radical form?

Answer 1

Find the square root using prime factorization method:

The square root of $56$ is

$\begin{array}{rcl}56& =& 2\times 2\times 2\times 7\\ & \Rightarrow & \sqrt{56}=\sqrt{2\times 2\times 2\times 7}\\ & \Rightarrow & \sqrt{56}=2\sqrt{14}\end{array}$

Hence, the square root of $\mathbf{56}$ is $\mathbf{2}\sqrt{\mathbf{14}}$.