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\frac{4\sqrt{2}}{\left(\sqrt{2}\right)^{2}}-2
Rationalize the denominator of \frac{4}{\sqrt{2}} by multiplying numerator and denominator by \sqrt{2}.
\frac{4\sqrt{2}}{2}-2
The square of \sqrt{2} is 2.
2\sqrt{2}-2
Divide 4\sqrt{2} by 2 to get 2\sqrt{2}.