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\frac{1}{2}\sqrt{2}\sqrt{7}\times \frac{2}{7}\sqrt{2}
Factor 14=2\times 7. Rewrite the square root of the product \sqrt{2\times 7} as the product of square roots \sqrt{2}\sqrt{7}.
\frac{1}{2}\times 2\times \frac{2}{7}\sqrt{7}
Multiply \sqrt{2} and \sqrt{2} to get 2.
\frac{2}{7}\sqrt{7}
Cancel out 2 and 2.