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4\times 10\sqrt{6}
Factor 600=10^{2}\times 6. Rewrite the square root of the product \sqrt{10^{2}\times 6} as the product of square roots \sqrt{10^{2}}\sqrt{6}. Take the square root of 10^{2}.
40\sqrt{6}
Multiply 4 and 10 to get 40.