# How do you rationalize the denominator and simplify 2/(sqrt6-sqrt5)?

$2 \left(\sqrt{6} + \sqrt{5}\right)$
Multiply both numerator by the conjugate $\sqrt{6} + \sqrt{5}$ of the denominator and use
$\left(a - b\right) \left(a + b\right) = \left({a}^{2} - {b}^{2}\right)$