Evaluate
\sqrt{2}+2\approx 3.414213562
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3\sqrt{2}-2\sqrt{2}+2
Factor 18=3^{2}\times 2. Rewrite the square root of the product \sqrt{3^{2}\times 2} as the product of square roots \sqrt{3^{2}}\sqrt{2}. Take the square root of 3^{2}.
\sqrt{2}+2
Combine 3\sqrt{2} and -2\sqrt{2} to get \sqrt{2}.
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