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11\sqrt{5}-\sqrt{80}
Factor 605=11^{2}\times 5. Rewrite the square root of the product \sqrt{11^{2}\times 5} as the product of square roots \sqrt{11^{2}}\sqrt{5}. Take the square root of 11^{2}.
11\sqrt{5}-4\sqrt{5}
Factor 80=4^{2}\times 5. Rewrite the square root of the product \sqrt{4^{2}\times 5} as the product of square roots \sqrt{4^{2}}\sqrt{5}. Take the square root of 4^{2}.
7\sqrt{5}
Combine 11\sqrt{5} and -4\sqrt{5} to get 7\sqrt{5}.