try using the photomath app, it gives you the answers and step by step how to do it.
x + sqrt(x^2 -2) = 2 Subtract x from both sides
sqrt(x^2-2) = 2 - x Square both sides
x^2 - 2 = 4 -4x + x^2 Subtract x^2 from both sides
-2 = 4 - 4x
-6 = -4x
6/4 = x = 1 1/2