# What is 2/square root 3?

Mar 21, 2018

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

#### Explanation:

Other than using a calculator to find the approximate value
the most we can do in this case is to rationalize the denominator:
$\frac{2}{\sqrt{3}}$
$\textcolor{w h i t e}{\text{XXX}} = \frac{2}{\sqrt{3}} \times \frac{\sqrt{3}}{\sqrt{3}}$

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

Using a calculator, you could find the approximate value
$\textcolor{w h i t e}{\text{XXX}} \frac{2}{\sqrt{3}} \approx 1.1547005384$