# How do you rationalize the denominator and simplify 6/sqrt2?

Oct 6, 2015

You may multiply by $1$, even if disguised as $\frac{3}{3}$ or other.

#### Explanation:

$\frac{6}{\sqrt{2}} \cdot \frac{\sqrt{2}}{\sqrt{2}} = \frac{6 \sqrt{2}}{\sqrt{{2}^{2}}} = \frac{6 \sqrt{2}}{2} = 3 \sqrt{2}$