Evaluate
\sqrt{2}+2\sqrt{5}+5\sqrt{11}\approx 22.469473469
Factor
\sqrt{2} + 2 \sqrt{5} + 5 \sqrt{11} = 22.469473469
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2\sqrt{5}-\frac{1}{2}\sqrt{2}+6\sqrt{11}+\frac{3}{2}\sqrt{2}-\sqrt{11}
Combine \frac{2}{3}\sqrt{5} and \frac{4}{3}\sqrt{5} to get 2\sqrt{5}.
2\sqrt{5}+\sqrt{2}+6\sqrt{11}-\sqrt{11}
Combine -\frac{1}{2}\sqrt{2} and \frac{3}{2}\sqrt{2} to get \sqrt{2}.
2\sqrt{5}+\sqrt{2}+5\sqrt{11}
Combine 6\sqrt{11} and -\sqrt{11} to get 5\sqrt{11}.
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