# How do you simplify 5/(8+sqrt7)?

$\frac{1}{57} \left(40 - 5 \sqrt{7}\right)$
$\frac{5}{8 + \sqrt{7}} = \frac{5 \left(8 - \sqrt{7}\right)}{\left(8 + \sqrt{7}\right) \left(8 - \sqrt{7}\right)} = \frac{40 - 5 \sqrt{7}}{64 - 7} = \frac{1}{57} \left(40 - 5 \sqrt{7}\right)$[Ans]