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\frac{\sqrt{5}-1+\sqrt{5}+1}{2}
Since \frac{\sqrt{5}-1}{2} and \frac{\sqrt{5}+1}{2} have the same denominator, add them by adding their numerators.
\frac{2\sqrt{5}}{2}
Do the calculations in \sqrt{5}-1+\sqrt{5}+1.
\sqrt{5}
Cancel out 2 and 2.