Answer
$\frac{\sqrt5}{10}$
Work Step by Step
$\frac{1}{\sqrt{20}}$
Simplify by factoring out perfect squares.
$\frac{1}{\sqrt{(4)(5)}}$
Simplify.
$\frac{1}{2\sqrt5}$
Rationalize the denominator.
$\frac{1}{2\sqrt5}\times\frac{\sqrt5}{\sqrt5}$
Use product rule for square roots.
$\frac{\sqrt{5}}{10}$
