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4\sqrt{2}\sqrt{4}\sqrt{2}
Factor 8=2\times 4. Rewrite the square root of the product \sqrt{2\times 4} as the product of square roots \sqrt{2}\sqrt{4}.
4\times 2\sqrt{4}
Multiply \sqrt{2} and \sqrt{2} to get 2.
8\sqrt{4}
Multiply 4 and 2 to get 8.
8\times 2
Calculate the square root of 4 and get 2.
16
Multiply 8 and 2 to get 16.