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\frac{1}{7}\times 14\sqrt{2}
Factor 392=14^{2}\times 2. Rewrite the square root of the product \sqrt{14^{2}\times 2} as the product of square roots \sqrt{14^{2}}\sqrt{2}. Take the square root of 14^{2}.
\frac{14}{7}\sqrt{2}
Multiply \frac{1}{7} and 14 to get \frac{14}{7}.
2\sqrt{2}
Divide 14 by 7 to get 2.