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10\times 7\sqrt{3}
Factor 147=7^{2}\times 3. Rewrite the square root of the product \sqrt{7^{2}\times 3} as the product of square roots \sqrt{7^{2}}\sqrt{3}. Take the square root of 7^{2}.
70\sqrt{3}
Multiply 10 and 7 to get 70.