Evaluate
3\sqrt{2}-2\sqrt{5}\approx -0.229495268
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2\sqrt{2}-\left(2\sqrt{5}-\sqrt{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}.
2\sqrt{2}-2\sqrt{5}-\left(-\sqrt{2}\right)
To find the opposite of 2\sqrt{5}-\sqrt{2}, find the opposite of each term.
2\sqrt{2}-2\sqrt{5}+\sqrt{2}
The opposite of -\sqrt{2} is \sqrt{2}.
3\sqrt{2}-2\sqrt{5}
Combine 2\sqrt{2} and \sqrt{2} to get 3\sqrt{2}.
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