Let the expression = x
Notice that the red expression is the same as the original
expression, so
Square and isolate radicals until you end up with this 4th degree equation.
which factors by trial and error as
Setting each one equal to 0 and solving by the quadratic formula
gives
and
The answer must be positive, so it is one of these:
or
The first one satisfies
but the second one does not.
Answer:
Edwin