Evaluate
40\sqrt{34}\approx 233.238075794
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\sqrt{10000\times 21.5296-46400\times 4.64+54400}
Calculate 4.64 to the power of 2 and get 21.5296.
\sqrt{215296-46400\times 4.64+54400}
Multiply 10000 and 21.5296 to get 215296.
\sqrt{215296-215296+54400}
Multiply 46400 and 4.64 to get 215296.
\sqrt{0+54400}
Subtract 215296 from 215296 to get 0.
\sqrt{54400}
Add 0 and 54400 to get 54400.
40\sqrt{34}
Factor 54400=40^{2}\times 34. Rewrite the square root of the product \sqrt{40^{2}\times 34} as the product of square roots \sqrt{40^{2}}\sqrt{34}. Take the square root of 40^{2}.
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