Evaluate
400\sqrt{3}\approx 692.820323028
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\sqrt{12\times 1000\times 40}
Calculate 10 to the power of 3 and get 1000.
\sqrt{12000\times 40}
Multiply 12 and 1000 to get 12000.
\sqrt{480000}
Multiply 12000 and 40 to get 480000.
400\sqrt{3}
Factor 480000=400^{2}\times 3. Rewrite the square root of the product \sqrt{400^{2}\times 3} as the product of square roots \sqrt{400^{2}}\sqrt{3}. Take the square root of 400^{2}.
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