Evaluate
1000\sqrt{3}\approx 1732.050807569
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100\times 10\sqrt{3}
Factor 300=10^{2}\times 3. Rewrite the square root of the product \sqrt{10^{2}\times 3} as the product of square roots \sqrt{10^{2}}\sqrt{3}. Take the square root of 10^{2}.
1000\sqrt{3}
Multiply 100 and 10 to get 1000.
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