Evaluate
\frac{\sqrt{3}+1}{2}\approx 1.366025404
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\frac{1}{2}+\sqrt{\frac{3}{4}}
Rewrite the square root of the division \frac{1}{4} as the division of square roots \frac{\sqrt{1}}{\sqrt{4}}. Take the square root of both numerator and denominator.
\frac{1}{2}+\frac{\sqrt{3}}{\sqrt{4}}
Rewrite the square root of the division \sqrt{\frac{3}{4}} as the division of square roots \frac{\sqrt{3}}{\sqrt{4}}.
\frac{1}{2}+\frac{\sqrt{3}}{2}
Calculate the square root of 4 and get 2.
\frac{1+\sqrt{3}}{2}
Since \frac{1}{2} and \frac{\sqrt{3}}{2} have the same denominator, add them by adding their numerators.
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