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\sqrt{224455}
Multiply 385 and 583 to get 224455.
11\sqrt{1855}
Factor 224455=11^{2}\times 1855. Rewrite the square root of the product \sqrt{11^{2}\times 1855} as the product of square roots \sqrt{11^{2}}\sqrt{1855}. Take the square root of 11^{2}.