Evaluate
\frac{\sqrt{5}+5}{2}\approx 3.618033989
Factor
\frac{\sqrt{5} {(\sqrt{5} + 1)}}{2} = 3.6180339887498953
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\frac{5+\sqrt{3}+\sqrt{5}-\sqrt{3}}{2}
Since \frac{5+\sqrt{3}}{2} and \frac{\sqrt{5}-\sqrt{3}}{2} have the same denominator, add them by adding their numerators.
\frac{5+\sqrt{5}}{2}
Do the calculations in 5+\sqrt{3}+\sqrt{5}-\sqrt{3}.
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