Evaluate
\sqrt{10}\approx 3.16227766
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-2\times 2\sqrt{10}+5\sqrt{10}
Factor 40=2^{2}\times 10. Rewrite the square root of the product \sqrt{2^{2}\times 10} as the product of square roots \sqrt{2^{2}}\sqrt{10}. Take the square root of 2^{2}.
-4\sqrt{10}+5\sqrt{10}
Multiply -2 and 2 to get -4.
\sqrt{10}
Combine -4\sqrt{10} and 5\sqrt{10} to get \sqrt{10}.
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