Dr. Sardonicus,
Thank you for your input.
I do not see where the equation
{1} sqrt(b^2  c) = g  f.
comes from.
We start with
sqrt(b+sqrt(c))=sqrt(f)+sqrt(g).
As you pointed out, it follows that
b=f+g
and
c=4*f*g.
But, I do not yet understand the above equation {1}.
