Evaluate
\frac{20\sqrt{3}}{3}+10\approx 21.547005384
Factor
\frac{10 \sqrt{3} {(\sqrt{3} + 2)}}{3} = 21.547005383792513
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\frac{\sqrt{3}\left(10\sqrt{3}+20\right)}{3}
Express \frac{\sqrt{3}}{3}\left(10\sqrt{3}+20\right) as a single fraction.
\frac{10\left(\sqrt{3}\right)^{2}+20\sqrt{3}}{3}
Use the distributive property to multiply \sqrt{3} by 10\sqrt{3}+20.
\frac{10\times 3+20\sqrt{3}}{3}
The square of \sqrt{3} is 3.
\frac{30+20\sqrt{3}}{3}
Multiply 10 and 3 to get 30.
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