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\frac{2\sqrt{2}}{\left(\sqrt{2}\right)^{2}}+\sqrt{2}
Rationalize the denominator of \frac{2}{\sqrt{2}} by multiplying numerator and denominator by \sqrt{2}.
\frac{2\sqrt{2}}{2}+\sqrt{2}
The square of \sqrt{2} is 2.
\sqrt{2}+\sqrt{2}
Cancel out 2 and 2.
2\sqrt{2}
Combine \sqrt{2} and \sqrt{2} to get 2\sqrt{2}.