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\frac{-2\sqrt{10}}{\left(\sqrt{10}\right)^{2}}
Rationalize the denominator of \frac{-2}{\sqrt{10}} by multiplying numerator and denominator by \sqrt{10}.
\frac{-2\sqrt{10}}{10}
The square of \sqrt{10} is 10.
-\frac{1}{5}\sqrt{10}
Divide -2\sqrt{10} by 10 to get -\frac{1}{5}\sqrt{10}.