Quantitative Aptitude :: Square Root and Cube Root - Discussion

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Explanation:
Given\(=(2+\sqrt{2})+\frac{1}{(2+\sqrt{2})}\times\frac{(2-\sqrt{2})}{(2-\sqrt{2})}-\frac{1}{(2-\sqrt{2})}\times\frac{(2+\sqrt{2})}{(2+\sqrt{2})}\)
\(=(2+\sqrt{2})+\frac{(2-\sqrt{2})}{(4-2)}-\frac{(2+\sqrt{2})}{(4-2)}\)
\(=(2+\sqrt{2})+\frac{1}{2}(2-\sqrt{2})-\frac{1}{2}(2+\sqrt{2})=2\)