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555\times 5\sqrt{221}
Factor 5525=5^{2}\times 221. Rewrite the square root of the product \sqrt{5^{2}\times 221} as the product of square roots \sqrt{5^{2}}\sqrt{221}. Take the square root of 5^{2}.
2775\sqrt{221}
Multiply 555 and 5 to get 2775.