# How do you simplify -6/(5-sqrt11)?

We have to rationalize the denominator by multiplying by the conjugate ($5 + \sqrt{11}$).
$- \frac{6}{5 - \sqrt{11}} \cdot \frac{5 + \sqrt{11}}{5 + \sqrt{11}} = - \frac{6 \left(5 + \sqrt{11}\right)}{25 - 11} = - \frac{30 + 6 \sqrt{11}}{14}$