Evaluate
\frac{7\sqrt{5}}{10}+\frac{23\sqrt{2}}{2}\approx 17.828703552
Factor
\frac{7 \sqrt{5} + 115 \sqrt{2}}{10} = 17.828703551540446
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\frac{7}{10}\sqrt{5}+12\sqrt{2}-\frac{4}{8}\sqrt{2}
Combine \frac{6}{5}\sqrt{5} and -\frac{1}{2}\sqrt{5} to get \frac{7}{10}\sqrt{5}.
\frac{7}{10}\sqrt{5}+12\sqrt{2}-\frac{1}{2}\sqrt{2}
Reduce the fraction \frac{4}{8} to lowest terms by extracting and canceling out 4.
\frac{7}{10}\sqrt{5}+\frac{23}{2}\sqrt{2}
Combine 12\sqrt{2} and -\frac{1}{2}\sqrt{2} to get \frac{23}{2}\sqrt{2}.
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