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3\sqrt{992}
Subtract 8 from 1000 to get 992.
3\times 4\sqrt{62}
Factor 992=4^{2}\times 62. Rewrite the square root of the product \sqrt{4^{2}\times 62} as the product of square roots \sqrt{4^{2}}\sqrt{62}. Take the square root of 4^{2}.
12\sqrt{62}
Multiply 3 and 4 to get 12.