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4\times 8\sqrt{2}\sqrt{3}\sqrt{2}
Factor 6=2\times 3. Rewrite the square root of the product \sqrt{2\times 3} as the product of square roots \sqrt{2}\sqrt{3}.
4\times 8\times 2\sqrt{3}
Multiply \sqrt{2} and \sqrt{2} to get 2.
32\times 2\sqrt{3}
Multiply 4 and 8 to get 32.
64\sqrt{3}
Multiply 32 and 2 to get 64.