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\frac{\sqrt{5}\sqrt{13}}{\left(\sqrt{13}\right)^{2}}
Rationalize the denominator of \frac{\sqrt{5}}{\sqrt{13}} by multiplying numerator and denominator by \sqrt{13}.
\frac{\sqrt{5}\sqrt{13}}{13}
The square of \sqrt{13} is 13.
\frac{\sqrt{65}}{13}
To multiply \sqrt{5} and \sqrt{13}, multiply the numbers under the square root.