Answer
$\frac{13\sqrt{10}}{20}$
Work Step by Step
$\frac{13}{\sqrt{40}}$
Simplify by factoring out perfect squares.
$\frac{13}{\sqrt{(4)(10)}}$
Simplify.
$\frac{13}{2\sqrt{10}}$
Rationalize the denominator.
$\frac{13}{2\sqrt{10}}\times\frac{\sqrt{10}}{\sqrt{10}}$
Use product rule for square roots.
$\frac{13\sqrt{10}}{20}$
