Answer
$2 \sqrt {15}$
Work Step by Step
First, we rewrite the problem in the form of a fraction:
$\sqrt {300} \div \sqrt {5} = \frac{\sqrt {300}}{\sqrt 5}$
Rewrite both numbers under one radical:
$\sqrt {\frac{300}{5}}$
Evaluate what is under the radical sign:
$\sqrt {60}$
Rewrite $60$ as the product of a perfect square and another number:
$\sqrt {4 • 15}$
Take the square root of $4$ to solve:
$2 \sqrt {15}$