# How do you rationalize the denominator and simplify 3/(sqrtx+2-sqrtx)?

$\textcolor{w h i t e}{\text{XXX}} \frac{3}{2}$
$\frac{3}{\sqrt{x} + 2 - \sqrt{x}} = \frac{3}{\textcolor{b l u e}{\sqrt{x} - \sqrt{x}} + 2} = \frac{3}{\textcolor{b l u e}{0} + 2} = \frac{3}{2}$