It's little difficult for me...
$\displaystyle \frac{2}{\sqrt[5]{4}}$
$\displaystyle 2*\left(\frac{2}{\sqrt{6}+3} +\frac{3}{\sqrt{6}-2}-\frac{5}{\sqrt{6}}\right)$
$\displaystyle = 2*\left( \left[\frac{2}{\sqrt{6}+3} \times \frac{\sqrt{6}-3}{\sqrt{6}-3}\right]+ \left[\frac{3}{\sqrt{6}-2} \times \frac{\sqrt{6}+2}{\sqrt{6}+2}\right]-\left[\frac{5}{\sqrt{6}} \times \frac{\sqrt{6}}{\sqrt{6}}\right]\right)$
Now Simplify.....