Given, x = (a^2 + b^2)^(1/2) + (a^2 - b^2)^(1/2)\(a^2 + b^2)^(1/2) - (a^2 - b^2)^(1/2). Use componendo and dividendo to prove that : (b)^2 = (2a^2x)\(x^2 + 1)