Answer
$\frac{\sqrt{10}}{6}$
Work Step by Step
$\sqrt{\frac{5}{18}}$
Use the quotient rule for square roots.
$\frac{\sqrt5}{\sqrt{18}}$
Simplify by factoring out perfect squares.
$\frac{\sqrt5}{\sqrt{(9)(2)}}$
Simplify.
$\frac{\sqrt5}{3\sqrt{2}}$
Rationalize the denominator.
$\frac{\sqrt5}{3\sqrt{2}}\times\frac{\sqrt{2}}{\sqrt{2}}$
Use product rule for square roots.
$\frac{\sqrt{10}}{6}$
