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2\times \frac{\sqrt{14}}{2\left(\sqrt{14}\right)^{2}}
Rationalize the denominator of \frac{1}{2\sqrt{14}} by multiplying numerator and denominator by \sqrt{14}.
2\times \frac{\sqrt{14}}{2\times 14}
The square of \sqrt{14} is 14.
2\times \frac{\sqrt{14}}{28}
Multiply 2 and 14 to get 28.
\frac{\sqrt{14}}{14}
Cancel out 28, the greatest common factor in 2 and 28.