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\frac{\sqrt{3}\sqrt{3}}{2}+\frac{1}{2}
Express \sqrt{3}\times \frac{\sqrt{3}}{2} as a single fraction.
\frac{\sqrt{3}\sqrt{3}+1}{2}
Since \frac{\sqrt{3}\sqrt{3}}{2} and \frac{1}{2} have the same denominator, add them by adding their numerators.
\frac{3+1}{2}
Do the multiplications in \sqrt{3}\sqrt{3}+1.
\frac{4}{2}
Do the calculations in 3+1.
2
Divide 4 by 2 to get 2.