Rationalize nested radical expression $\frac{8}{\sqrt{2-\sqrt{\frac{5+\sqrt{5}}{2}}}}$ I have a college task to rationalize this fraction.
$$\frac{8}{\sqrt{2-\sqrt{\frac{5+\sqrt{5}}{2}}}}$$
I do not know how to simplify this fraction. 
Please, explain how to remove the radical from the denominator. Thanks, for your help.

Let use
$$\frac{8}{\sqrt{2-\sqrt{\frac{5+\sqrt{5}}{2}}}} \frac{\sqrt{2+\sqrt{\frac{5+\sqrt{5}}{2}}}}{\sqrt{2+\sqrt{\frac{5+\sqrt{5}}{2}}}} \frac{\sqrt{4-{\frac{5+\sqrt{5}}{2}}}}{\sqrt{4-{\frac{5+\sqrt{5}}{2}}}}$$
