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5\times 49\sqrt{7}
Factor 16807=49^{2}\times 7. Rewrite the square root of the product \sqrt{49^{2}\times 7} as the product of square roots \sqrt{49^{2}}\sqrt{7}. Take the square root of 49^{2}.
245\sqrt{7}
Multiply 5 and 49 to get 245.