# Question #0a736

Apr 6, 2017

Method 1 - Making the radical include both the numerator and denominator rather than two separate square roots

$\frac{\sqrt{50}}{\sqrt{2}}$

$= \sqrt{\frac{50}{2}}$

$= \sqrt{25}$

$= 5$

Method 2 - Simplifying the radical in the numerator then simplifying the overall fraction

$\frac{\sqrt{50}}{\sqrt{2}}$

$= \frac{\sqrt{25 \cdot 2}}{\sqrt{2}}$

$= \frac{5 \textcolor{red}{\sqrt{2}}}{\textcolor{red}{\sqrt{2}}}$

$= 5$