# How do you simplify 3/(6-sqrt5)?

Jun 8, 2015

You can multiply and divide by $6 + \sqrt{5}$ to get:
$\frac{3}{6 - \sqrt{5}} \cdot \frac{6 + \sqrt{5}}{6 + \sqrt{5}} = \frac{3 \left(6 + \sqrt{5}\right)}{36 - 5} = \frac{3 \left(6 + \sqrt{5}\right)}{31}$