Answer
$\frac{\sqrt{10}}{2}$
Work Step by Step
$\sqrt{\frac{5}{2}}$
Use the quotient rule for square roots.
$\frac{\sqrt5}{\sqrt{2}}$
Rationalize the denominator,
$\frac{\sqrt5}{\sqrt{2}}\times\frac{\sqrt{2}}{\sqrt{2}}$
Simplify.
$\frac{\sqrt5\times\sqrt{2}}{2}$
Use the product rule for square roots.
$\frac{\sqrt{10}}{2}$
