## Geometry: Common Core (15th Edition)

$15 \sqrt 2$
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: $15 \sqrt 2$