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48\times 8\sqrt{573}
Factor 36672=8^{2}\times 573. Rewrite the square root of the product \sqrt{8^{2}\times 573} as the product of square roots \sqrt{8^{2}}\sqrt{573}. Take the square root of 8^{2}.
384\sqrt{573}
Multiply 48 and 8 to get 384.