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\frac{6-2\sqrt{11}}{2}
Factor 44=2^{2}\times 11. Rewrite the square root of the product \sqrt{2^{2}\times 11} as the product of square roots \sqrt{2^{2}}\sqrt{11}. Take the square root of 2^{2}.
3-\sqrt{11}
Divide each term of 6-2\sqrt{11} by 2 to get 3-\sqrt{11}.