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6\times 11\sqrt{7}
Factor 847=11^{2}\times 7. Rewrite the square root of the product \sqrt{11^{2}\times 7} as the product of square roots \sqrt{11^{2}}\sqrt{7}. Take the square root of 11^{2}.
66\sqrt{7}
Multiply 6 and 11 to get 66.