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5\times 3\sqrt{111111111111}
Factor 999999999999=3^{2}\times 111111111111. Rewrite the square root of the product \sqrt{3^{2}\times 111111111111} as the product of square roots \sqrt{3^{2}}\sqrt{111111111111}. Take the square root of 3^{2}.
15\sqrt{111111111111}
Multiply 5 and 3 to get 15.