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\frac{20\sqrt{10}}{3\left(\sqrt{10}\right)^{2}}
Rationalize the denominator of \frac{20}{3\sqrt{10}} by multiplying numerator and denominator by \sqrt{10}.
\frac{20\sqrt{10}}{3\times 10}
The square of \sqrt{10} is 10.
\frac{2\sqrt{10}}{3}
Cancel out 10 in both numerator and denominator.