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9\sqrt{998001+199}
Multiply 999 and 999 to get 998001.
9\sqrt{998200}
Add 998001 and 199 to get 998200.
9\times 10\sqrt{9982}
Factor 998200=10^{2}\times 9982. Rewrite the square root of the product \sqrt{10^{2}\times 9982} as the product of square roots \sqrt{10^{2}}\sqrt{9982}. Take the square root of 10^{2}.
90\sqrt{9982}
Multiply 9 and 10 to get 90.