To start this off we need a value of $\displaystyle \sqrt{g + \sqrt{g + \sqrt{g + \text{ ...}}}$
So let
$\displaystyle x = \sqrt{g + \sqrt{g + \sqrt{g + \text{ ...}}}$
Square both sides:
$\displaystyle x^2 = g + \sqrt{g + \sqrt{g + \sqrt{g + \text{ ...}}}$
$\displaystyle x^2 = g + x $
Find x.
-Dan