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3\times 4\sqrt{2}\sqrt{2}\sqrt{5}
Factor 10=2\times 5. Rewrite the square root of the product \sqrt{2\times 5} as the product of square roots \sqrt{2}\sqrt{5}.
3\times 4\times 2\sqrt{5}
Multiply \sqrt{2} and \sqrt{2} to get 2.
12\times 2\sqrt{5}
Multiply 3 and 4 to get 12.
24\sqrt{5}
Multiply 12 and 2 to get 24.