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\frac{\sqrt{2}}{2\sqrt{2}-\sqrt{2}}
Factor 8=2^{2}\times 2. Rewrite the square root of the product \sqrt{2^{2}\times 2} as the product of square roots \sqrt{2^{2}}\sqrt{2}. Take the square root of 2^{2}.
\frac{\sqrt{2}}{\sqrt{2}}
Combine 2\sqrt{2} and -\sqrt{2} to get \sqrt{2}.
\sqrt{1}
Rewrite the division of square roots \frac{\sqrt{2}}{\sqrt{2}} as the square root of the division \sqrt{\frac{2}{2}} and perform the division.
1
Calculate the square root of 1 and get 1.