# Thread: algebra help: rationalize the numerator

1. ## algebra help: rationalize the numerator

Ok, I am stuck on this problem. Here is what I have done so far:

$
\frac{\sqrt(x)-2}{x-4}
$

$
= \frac{\sqrt(x) -2}{x-4} = \frac{\sqrt(x) + 2}{\sqrt(x)+2} =
$

$
\frac{x-2}{(x-4)(\sqrt(x)+2)}
$

Ok, here I do not remember the algebra to simplify this denominator.

help?

2. the numerator in your last expression is incorrect.

the expression should be ...

$\frac{x-4}{(x-4)(\sqrt{x}+2)}$

now simplify.