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11501\times \frac{8713\sqrt{14}}{\left(\sqrt{14}\right)^{2}}
Rationalize the denominator of \frac{8713}{\sqrt{14}} by multiplying numerator and denominator by \sqrt{14}.
11501\times \frac{8713\sqrt{14}}{14}
The square of \sqrt{14} is 14.
\frac{11501\times 8713\sqrt{14}}{14}
Express 11501\times \frac{8713\sqrt{14}}{14} as a single fraction.
\frac{100208213\sqrt{14}}{14}
Multiply 11501 and 8713 to get 100208213.
\frac{14315459}{2}\sqrt{14}
Divide 100208213\sqrt{14} by 14 to get \frac{14315459}{2}\sqrt{14}.