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