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\sqrt{2}\sqrt{2}\sqrt{4}=r
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}=r
Multiply \sqrt{2} and \sqrt{2} to get 2.
2\times 2=r
Calculate the square root of 4 and get 2.
4=r
Multiply 2 and 2 to get 4.
r=4
Swap sides so that all variable terms are on the left hand side.