Answer
$\frac{5v}{6}$.
Work Step by Step
The given expression is
$=\sqrt{\frac{25v^2}{36}}$
Use quotient property of square roots.
$=\frac{\sqrt{25v^2}}{\sqrt{36}}$
Use product property of square roots.
$=\frac{\sqrt{25}\sqrt{v^2}}{\sqrt{36}}$
Use $25=5^2$ and $36=6^2$.
$=\frac{\sqrt{5^2}\sqrt{v^2}}{\sqrt{6^2}}$
Simplify.
$=\frac{5v}{6}$.
