# How do you rationalize the denominator and simplify 3/(8-sqrt5)?

Sep 25, 2015

Try this:

#### Explanation:

You multiply and divide your fraction by: $8 + \sqrt{5}$ to get:
$\frac{3}{8 - \sqrt{5}} \cdot \frac{8 + \sqrt{5}}{8 + \sqrt{5}} =$
$= 3 \frac{8 + \sqrt{5}}{64 - 5} = \frac{3}{59} \left(8 + \sqrt{5}\right)$