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3+\frac{1}{2}
Multiply \sqrt{3} and \sqrt{3} to get 3.
\frac{6}{2}+\frac{1}{2}
Convert 3 to fraction \frac{6}{2}.
\frac{6+1}{2}
Since \frac{6}{2} and \frac{1}{2} have the same denominator, add them by adding their numerators.
\frac{7}{2}
Add 6 and 1 to get 7.