# What is the simplest radical form of sqrt(7) / sqrt(20)?

Jul 19, 2015

I found: $\frac{\sqrt{35}}{10}$
We can try by rationalizing multiplying and dividing by $\sqrt{2}$ to get:
$\frac{\sqrt{7}}{\sqrt{20}} \cdot \frac{\sqrt{20}}{\sqrt{20}} =$
$= \frac{\sqrt{7} \cdot \sqrt{20}}{20} =$
$= \frac{\sqrt{7} \sqrt{5 \cdot 4}}{20} = 2 \frac{\sqrt{7} \sqrt{5}}{20} = \frac{\sqrt{7 \cdot 5}}{10} =$
$= \frac{\sqrt{35}}{10}$