# How do you rationalize the denominator and simplify 6/(2sqrtx+sqrty)?

Jun 8, 2018

$\frac{6 \left(2 \sqrt{x} - \sqrt{y}\right)}{4 x - y}$

#### Explanation:

Multiplying numerator and denominator by
$2 \sqrt{x} - \sqrt{y}$ we get

$\frac{6 \left(\sqrt{x} - \sqrt{y}\right)}{4 x - y}$
using that
$\left(a - b\right) \left(a + b\right) = {a}^{2} - {b}^{2}$