Answer
$15 \sqrt 2$
Work Step by Step
Let's rewrite the problem as a fraction so we can see what we are working with:
$\frac{30}{\sqrt 2}$
We want to get rid of the radical in the denominator, so we multiply both the numerator and denominator by $\sqrt 2$:
$\frac{30}{\sqrt 2} • \frac{\sqrt 2}{\sqrt 2}$
Multiply to simplify:
$\frac{30 \sqrt 2}{\sqrt 4}$
Take the square root of the denominator:
$\frac{30 \sqrt 2}{2}$
Divide the numerator and denominator by their greatest common factor to simplify:
$15 \sqrt 2$
