\(\sqrt{x+\sqrt{x-2}}=2 ===>> {(x+\sqrt{x-2})}^{1/2}=2 ==>>> (x+\sqrt{x-2})=4 ===>>>4-x =\sqrt{x-2}\)
\(4-x=\sqrt{x-2} ==>>>{(4-x)}^{2}=x-2==>>{4}^{2}-2*4*x+{x}^{2}=x-2\)
\(16-8x+{x}^{2}=x-2====>>18-9x+{x}^{2}=0\)
Applying Bhaskara we gonna have x=6 or x=3
And
\(\sqrt{3+\sqrt{3-2}}=2\)
X=3