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\frac{3\sqrt{7}}{2\left(\sqrt{7}\right)^{2}}
Rationalize the denominator of \frac{3}{2\sqrt{7}} by multiplying numerator and denominator by \sqrt{7}.
\frac{3\sqrt{7}}{2\times 7}
The square of \sqrt{7} is 7.
\frac{3\sqrt{7}}{14}
Multiply 2 and 7 to get 14.