Question

How do you simplify the radical expression $\sqrt{63}$?

Answer 1

Determine the radical expression $\sqrt{63}$:

Simplify the expression:

$\begin{array}{rcl}\sqrt{63}& =& \sqrt{3^2·7}\left[\because 63=3\times 3\times 7\right]\\ & \Rightarrow & \sqrt{63}=\sqrt{3^2}·\sqrt{7}\\ & \Rightarrow & \sqrt{63}=3\sqrt{7}\end{array}$

Hence the radical expression of $\sqrt{63}$ is $3\sqrt{7}$.