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\frac{2\sqrt{22}}{2\sqrt{11}}
Factor 88=2^{2}\times 22. Rewrite the square root of the product \sqrt{2^{2}\times 22} as the product of square roots \sqrt{2^{2}}\sqrt{22}. Take the square root of 2^{2}.
\frac{\sqrt{22}}{\sqrt{11}}
Cancel out 2 in both numerator and denominator.
\sqrt{2}
Rewrite the division of square roots \frac{\sqrt{22}}{\sqrt{11}} as the square root of the division \sqrt{\frac{22}{11}} and perform the division.