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13\times 11\sqrt{13}
Factor 1573=11^{2}\times 13. Rewrite the square root of the product \sqrt{11^{2}\times 13} as the product of square roots \sqrt{11^{2}}\sqrt{13}. Take the square root of 11^{2}.
143\sqrt{13}
Multiply 13 and 11 to get 143.