Evaluate
\frac{10\sqrt{3}+15\sqrt{2}}{6}\approx 6.422285252
Factor
\frac{5 \sqrt{2} \sqrt{3} {(\sqrt{2} + \sqrt{3})}}{6} = 6.422285251880866
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\frac{5}{3}\sqrt{3}-\frac{\sqrt{2}}{2}+3\sqrt{2}
Combine 2\sqrt{3} and -\frac{\sqrt{3}}{3} to get \frac{5}{3}\sqrt{3}.
\frac{5}{3}\sqrt{3}+\frac{5}{2}\sqrt{2}
Combine -\frac{\sqrt{2}}{2} and 3\sqrt{2} to get \frac{5}{2}\sqrt{2}.
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