Evaluate
40\sqrt{1332178}\approx 46168.006238087
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\sqrt{10000\times 215296-46400\times 464+54400}
Calculate 464 to the power of 2 and get 215296.
\sqrt{2152960000-46400\times 464+54400}
Multiply 10000 and 215296 to get 2152960000.
\sqrt{2152960000-21529600+54400}
Multiply 46400 and 464 to get 21529600.
\sqrt{2131430400+54400}
Subtract 21529600 from 2152960000 to get 2131430400.
\sqrt{2131484800}
Add 2131430400 and 54400 to get 2131484800.
40\sqrt{1332178}
Factor 2131484800=40^{2}\times 1332178. Rewrite the square root of the product \sqrt{40^{2}\times 1332178} as the product of square roots \sqrt{40^{2}}\sqrt{1332178}. Take the square root of 40^{2}.
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