Correct option is (C) 10
x+y \(=\frac{\sqrt{3}+\sqrt{2}}{\sqrt{3}-\sqrt{2}}+\frac{\sqrt{3}-\sqrt{2}}{\sqrt{3}+\sqrt{2}}\)
\(=\frac{(\sqrt{3}+\sqrt{2})^2+(\sqrt{3}-\sqrt{2})^2}{(\sqrt{3}-\sqrt{2})(\sqrt{3}+\sqrt{2})}\)
\(=\frac{(3+2+2\sqrt6)+(3+2-2\sqrt6)}{3-2}\)
\(=\frac{5+5}1=10\)