Solve (2/3sqrt{5}-1/2sqrt{2}+6sqrt{11})+(4/3sqrt{5}+7/2

( \frac { 2 } { 3 } \sqrt { 5 } - \frac { 1 } { 2 } \sqrt { 2 } + 6 \sqrt { 11 } ) + ( \frac { 4 } { 3 } \sqrt { 5 } + \frac { 7 } { 2 }

Evaluate

-\frac{\sqrt{2}}{2}+2\sqrt{5}+6\sqrt{11}+\frac{7}{2}\approx 27.164777916

Solution Steps

( \frac { 2 } { 3 } \sqrt { 5 } - \frac { 1 } { 2 } \sqrt { 2 } + 6 \sqrt { 11 } ) + ( \frac { 4 } { 3 } \sqrt { 5 } + \frac { 7 } { 2 }

Combine \frac{2}{3}\sqrt{5} and \frac{4}{3}\sqrt{5} to get 2\sqrt{5}.

2\sqrt{5}-\frac{1}{2}\sqrt{2}+6\sqrt{11}+\frac{7}{2}

Factor

\frac{4 \sqrt{5} + 12 \sqrt{11} + 7 - \sqrt{2}}{2} = 27.164777915945432

Quiz

5 problems similar to:

( \frac { 2 } { 3 } \sqrt { 5 } - \frac { 1 } { 2 } \sqrt { 2 } + 6 \sqrt { 11 } ) + ( \frac { 4 } { 3 } \sqrt { 5 } + \frac { 7 } { 2 }

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2\sqrt{5}-\frac{1}{2}\sqrt{2}+6\sqrt{11}+\frac{7}{2}

Combine \frac{2}{3}\sqrt{5} and \frac{4}{3}\sqrt{5} to get 2\sqrt{5}.

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