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4\times 6\sqrt{10}
Factor 360=6^{2}\times 10. Rewrite the square root of the product \sqrt{6^{2}\times 10} as the product of square roots \sqrt{6^{2}}\sqrt{10}. Take the square root of 6^{2}.
24\sqrt{10}
Multiply 4 and 6 to get 24.