# How do you multiply sqrt 50 / sqrt 2?

Apr 28, 2015

In this way:

$\frac{\sqrt{50}}{\sqrt{2}} = \sqrt{\frac{50}{2}} = \sqrt{25} = 5$.

Apr 29, 2015

The answer is $5$.

A different approach:

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

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

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

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

$\frac{5 \sqrt{2}}{\sqrt{2}} \cdot \frac{\sqrt{2}}{\sqrt{2}}$ =

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

$\frac{5 \sqrt{4}}{2}$=

$\frac{5 \cdot \cancel{2}}{\cancel{2}}$ =

$5$