Rearranging $\left| \sqrt{x} -\sqrt{y} \right| $ I'm just going through an example of a Holder function ($f(x) = \sqrt{x}$), and a step in the example goes as follows,
$$\left| \sqrt{x} -\sqrt{y} \right| = \frac{\left|x-y\right|}{\sqrt{x}+\sqrt{y}}$$
I've been fiddling around with this for half an hour and cannot see how to get the RHS from the left. 
Thanks in advance.

$(\sqrt x-\sqrt y)(\sqrt x+\sqrt y) = (\sqrt x)^2 - (\sqrt y)^2 = x - y$
