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\frac{3\sqrt{7}}{5\left(\sqrt{7}\right)^{2}}
Rationalize the denominator of \frac{3}{5\sqrt{7}} by multiplying numerator and denominator by \sqrt{7}.
\frac{3\sqrt{7}}{5\times 7}
The square of \sqrt{7} is 7.
\frac{3\sqrt{7}}{35}
Multiply 5 and 7 to get 35.