Answer
$ \frac{12\sqrt{13}}{13} $.
Work Step by Step
The given expression is
$=\sqrt{\frac{144}{13}}$
Use quotient property of square roots.
$=\frac{\sqrt{144}}{\sqrt{13}}$
Use $144=12^2$.
$=\frac{\sqrt{12^2}}{\sqrt{13}}$
Simplify.
$=\frac{12}{\sqrt{13}}$
Multiply by $\frac{\sqrt{13}}{\sqrt{13}}$.
$=\frac{12}{\sqrt{13}}\cdot \frac{\sqrt{13}}{\sqrt{13}} $
Use product property of square roots.
$= \frac{12\sqrt{13}}{\sqrt{13\cdot13}} $
Simplify.
$= \frac{12\sqrt{13}}{13} $.
