Evaluate
80-10\sqrt{10}\approx 48.377223398
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\left(8\sqrt{10}-\sqrt{100}\right)\sqrt{10}
Factor 640=8^{2}\times 10. Rewrite the square root of the product \sqrt{8^{2}\times 10} as the product of square roots \sqrt{8^{2}}\sqrt{10}. Take the square root of 8^{2}.
\left(8\sqrt{10}-10\right)\sqrt{10}
Calculate the square root of 100 and get 10.
8\left(\sqrt{10}\right)^{2}-10\sqrt{10}
Use the distributive property to multiply 8\sqrt{10}-10 by \sqrt{10}.
8\times 10-10\sqrt{10}
The square of \sqrt{10} is 10.
80-10\sqrt{10}
Multiply 8 and 10 to get 80.
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