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3\sqrt{8}\times 5\sqrt{8}\sqrt{3}
Factor 24=8\times 3. Rewrite the square root of the product \sqrt{8\times 3} as the product of square roots \sqrt{8}\sqrt{3}.
3\times 8\times 5\sqrt{3}
Multiply \sqrt{8} and \sqrt{8} to get 8.
24\times 5\sqrt{3}
Multiply 3 and 8 to get 24.
120\sqrt{3}
Multiply 24 and 5 to get 120.