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\frac{\sqrt{3}}{2}+\frac{2\sqrt{5}}{2}
To add or subtract expressions, expand them to make their denominators the same. Multiply \sqrt{5} times \frac{2}{2}.
\frac{\sqrt{3}+2\sqrt{5}}{2}
Since \frac{\sqrt{3}}{2} and \frac{2\sqrt{5}}{2} have the same denominator, add them by adding their numerators.