# Simply Simplify!!

Algebra Level 2

If $$x=\frac{4\sqrt{2}}{\sqrt{2}+1}$$

Then the value of

$$\frac{1}{\sqrt{2}}(\frac{x+2}{x-2}+\frac{x+2\sqrt{2}}{x-2\sqrt{2}})$$

can be simplified to a number of the form $$\sqrt{k}$$ where $$k$$ is a positive integer.Find $$k$$