Simplifying radicals I am stuck in the following puzzle and couldn't find a way to approach this.
$\sqrt{5 + \sqrt{5} + \sqrt{3 + \sqrt{5} + \sqrt{14 + \sqrt{180}}}}$
Please help.

Hint:
$$\eqalign{
  & \sqrt{14 + \sqrt {180}}  = 3 + \sqrt 5   \cr 
  & \sqrt {3 + \sqrt 5  + 3 + \sqrt 5 }  = \sqrt {6 + 2\sqrt 5 }  = 1 + \sqrt 5   \cr 
  & \sqrt {5 + \sqrt 5  + \sqrt {3 + \sqrt 5  + 3 + \sqrt 5 } }  = \sqrt {6 + 2\sqrt 5 }  = 1 + \sqrt 5  \cr} $$
