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100\times 20\sqrt{3}
Factor 1200=20^{2}\times 3. Rewrite the square root of the product \sqrt{20^{2}\times 3} as the product of square roots \sqrt{20^{2}}\sqrt{3}. Take the square root of 20^{2}.
2000\sqrt{3}
Multiply 100 and 20 to get 2000.