Answer
$\frac{\sqrt {13}}{13}$
Work Step by Step
The given expression is
$=\sqrt{\frac{4}{52}}$
Factor as square terms.
$=\sqrt{\frac{4}{4\cdot 13}}$
Cancel common terms.
$=\sqrt{\frac{1}{13}}$
Use quotient property of square roots.
$=\frac{1}{\sqrt{13}}$
Multiply by $\frac{\sqrt {13}}{\sqrt {13}}$.
$=\frac{1}{\sqrt{13}}\cdot \frac{\sqrt {13}}{\sqrt {13}}$
Use product property of square roots.
$=\frac{\sqrt {13}}{\sqrt {13\cdot 13}}$
Simplify.
$=\frac{\sqrt {13}}{\sqrt {13^2}}$
$=\frac{\sqrt {13}}{13}$
