Evaluate
4\sqrt{2}+2-\sqrt{5}\approx 5.420786272
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2\times 2\sqrt{2}-\left(\sqrt{5}-2\right)
Factor 8=2^{2}\times 2. Rewrite the square root of the product \sqrt{2^{2}\times 2} as the product of square roots \sqrt{2^{2}}\sqrt{2}. Take the square root of 2^{2}.
4\sqrt{2}-\left(\sqrt{5}-2\right)
Multiply 2 and 2 to get 4.
4\sqrt{2}-\sqrt{5}-\left(-2\right)
To find the opposite of \sqrt{5}-2, find the opposite of each term.
4\sqrt{2}-\sqrt{5}+2
The opposite of -2 is 2.
Examples
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Limits
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