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\sqrt{2}\sqrt{2}\sqrt{4}
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}.
2\sqrt{4}
Multiply \sqrt{2} and \sqrt{2} to get 2.
2\times 2
Calculate the square root of 4 and get 2.
4
Multiply 2 and 2 to get 4.