Evaluate
\frac{17\sqrt{5}}{9}+5\sqrt{2}\approx 11.294751769
Factor
\frac{17 \sqrt{5} + 45 \sqrt{2}}{9} = 11.294751769365078
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2\sqrt{5}+5\sqrt{2}-\frac{\sqrt{5}}{9}
Factor 20=2^{2}\times 5. Rewrite the square root of the product \sqrt{2^{2}\times 5} as the product of square roots \sqrt{2^{2}}\sqrt{5}. Take the square root of 2^{2}.
\frac{17}{9}\sqrt{5}+5\sqrt{2}
Combine 2\sqrt{5} and -\frac{\sqrt{5}}{9} to get \frac{17}{9}\sqrt{5}.
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