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7\times 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}.
35\sqrt{11}
Multiply 7 and 5 to get 35.