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11.501\times \frac{8.71286\sqrt{14}}{\left(\sqrt{14}\right)^{2}}
Rationalize the denominator of \frac{8.71286}{\sqrt{14}} by multiplying numerator and denominator by \sqrt{14}.
11.501\times \frac{8.71286\sqrt{14}}{14}
The square of \sqrt{14} is 14.
11.501\times \frac{435643}{700000}\sqrt{14}
Divide 8.71286\sqrt{14} by 14 to get \frac{435643}{700000}\sqrt{14}.
7.15761449\sqrt{14}
Multiply 11.501 and \frac{435643}{700000} to get 7.15761449.