Evaluate
\frac{2\left(\sqrt{3}+1\right)}{3}\approx 1.821367205
Factor
\frac{2 {(\sqrt{3} + 1)}}{3} = 1.8213672050459182
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\frac{2}{3}+\frac{2\sqrt{3}}{\left(\sqrt{3}\right)^{2}}
Rationalize the denominator of \frac{2}{\sqrt{3}} by multiplying numerator and denominator by \sqrt{3}.
\frac{2}{3}+\frac{2\sqrt{3}}{3}
The square of \sqrt{3} is 3.
\frac{2+2\sqrt{3}}{3}
Since \frac{2}{3} and \frac{2\sqrt{3}}{3} have the same denominator, add them by adding their numerators.
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