Answer
$\frac{5\sqrt {5}}{2}$
Work Step by Step
First, we write both numbers under the same radical:
$\sqrt {\frac{125}{4}}$
Rewrite $125$ as a product of a perfect square and another factor. We can use $25$ as the perfect square factor:
$\sqrt {\frac{25 • 5}{4}}$
Take the square root of $25$ in the numerator and the square root of $4$ in the denominator to solve:
$\frac{5\sqrt {5}}{2}$
