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7\times 8\sqrt{6}
Factor 384=8^{2}\times 6. Rewrite the square root of the product \sqrt{8^{2}\times 6} as the product of square roots \sqrt{8^{2}}\sqrt{6}. Take the square root of 8^{2}.
56\sqrt{6}
Multiply 7 and 8 to get 56.