Pick one of the radicals and label it R.

If we pick the first radical to label R then we have
.  So substituting R for the first
radical:



Isolate the radical term by subtracting R from both sides::



Square both sides:





FOIL out the right sides:





Substitute  for R





Isolate the radical term and simplify the above:




To make things easier divide every term by 2



Square both sides:









Get 0 on the left side:











But we must ALWAYS check equations with even root
radicals as we often get extraneous solutions:

Checking:







It checks, so the solution is  

Edwin<