# How do you rationalize the denominator and simplify (2+sqrt3)/sqrt3?

Mar 13, 2018

See a solution process below:

#### Explanation:

Multiply by $\frac{\sqrt{3}}{\sqrt{3}}$ giving:

$\frac{\sqrt{3}}{\sqrt{3}} \times \frac{2 + \sqrt{3}}{\sqrt{3}} \implies$

$\frac{\sqrt{3} \left(2 + \sqrt{3}\right)}{\sqrt{3} \times \sqrt{3}} \implies$

$\frac{2 \sqrt{3} + \sqrt{3} \sqrt{3}}{3} \implies$

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

Or

$\frac{2 \sqrt{3}}{3} + \frac{3}{3} \implies$

$\frac{2}{3} \sqrt{3} + 1$