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\frac{6\sqrt{5}\sqrt{2}}{\left(\sqrt{2}\right)^{2}}
Rationalize the denominator of \frac{6\sqrt{5}}{\sqrt{2}} by multiplying numerator and denominator by \sqrt{2}.
\frac{6\sqrt{5}\sqrt{2}}{2}
The square of \sqrt{2} is 2.
\frac{6\sqrt{10}}{2}
To multiply \sqrt{5} and \sqrt{2}, multiply the numbers under the square root.
3\sqrt{10}
Divide 6\sqrt{10} by 2 to get 3\sqrt{10}.