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\frac{13\sqrt{65}}{\left(\sqrt{65}\right)^{2}}
Rationalize the denominator of \frac{13}{\sqrt{65}} by multiplying numerator and denominator by \sqrt{65}.
\frac{13\sqrt{65}}{65}
The square of \sqrt{65} is 65.
\frac{1}{5}\sqrt{65}
Divide 13\sqrt{65} by 65 to get \frac{1}{5}\sqrt{65}.