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\frac{\sqrt{2}+2+\sqrt{2}-2}{2}
Since \frac{\sqrt{2}+2}{2} and \frac{\sqrt{2}-2}{2} have the same denominator, add them by adding their numerators.
\frac{2\sqrt{2}}{2}
Do the calculations in \sqrt{2}+2+\sqrt{2}-2.
\sqrt{2}
Cancel out 2 and 2.