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4\sqrt{11}-\sqrt{45}-\sqrt{320}+\sqrt{275}
Factor 176=4^{2}\times 11. Rewrite the square root of the product \sqrt{4^{2}\times 11} as the product of square roots \sqrt{4^{2}}\sqrt{11}. Take the square root of 4^{2}.
4\sqrt{11}-3\sqrt{5}-\sqrt{320}+\sqrt{275}
Factor 45=3^{2}\times 5. Rewrite the square root of the product \sqrt{3^{2}\times 5} as the product of square roots \sqrt{3^{2}}\sqrt{5}. Take the square root of 3^{2}.
4\sqrt{11}-3\sqrt{5}-8\sqrt{5}+\sqrt{275}
Factor 320=8^{2}\times 5. Rewrite the square root of the product \sqrt{8^{2}\times 5} as the product of square roots \sqrt{8^{2}}\sqrt{5}. Take the square root of 8^{2}.
4\sqrt{11}-11\sqrt{5}+\sqrt{275}
Combine -3\sqrt{5} and -8\sqrt{5} to get -11\sqrt{5}.
4\sqrt{11}-11\sqrt{5}+5\sqrt{11}
Factor 275=5^{2}\times 11. Rewrite the square root of the product \sqrt{5^{2}\times 11} as the product of square roots \sqrt{5^{2}}\sqrt{11}. Take the square root of 5^{2}.
9\sqrt{11}-11\sqrt{5}
Combine 4\sqrt{11} and 5\sqrt{11} to get 9\sqrt{11}.