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-\frac{3\sqrt{2}}{2}-\frac{\sqrt{2}}{\left(\sqrt{2}\right)^{2}}
Rationalize the denominator of \frac{1}{\sqrt{2}} by multiplying numerator and denominator by \sqrt{2}.
-\frac{3\sqrt{2}}{2}-\frac{\sqrt{2}}{2}
The square of \sqrt{2} is 2.
-2\sqrt{2}
Combine -\frac{3\sqrt{2}}{2} and -\frac{\sqrt{2}}{2} to get -2\sqrt{2}.