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999\times 3\sqrt{1111}
Factor 9999=3^{2}\times 1111. Rewrite the square root of the product \sqrt{3^{2}\times 1111} as the product of square roots \sqrt{3^{2}}\sqrt{1111}. Take the square root of 3^{2}.
2997\sqrt{1111}
Multiply 999 and 3 to get 2997.