# How do you simplify 3 / (2 sqrt2) ?

Oct 5, 2015

The most you can do is rationalize the denominator to get
$\frac{3 \sqrt{2}}{4}$

#### Explanation:

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

$\textcolor{w h i t e}{\text{XXXX}} = \frac{3 \sqrt{2}}{2 {\left(\sqrt{2}\right)}^{2}}$

$\textcolor{w h i t e}{\text{XXXX}} = \frac{3 \sqrt{2}}{2 \cdot 2}$

$\textcolor{w h i t e}{\text{XXXX}} = \frac{3 \sqrt{2}}{4}$