Evaluate
\frac{3\sqrt{3}+9}{2}\approx 7.098076211
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\frac{3\sqrt{3}+\sqrt{81}}{2}
Factor 27=3^{2}\times 3. Rewrite the square root of the product \sqrt{3^{2}\times 3} as the product of square roots \sqrt{3^{2}}\sqrt{3}. Take the square root of 3^{2}.
\frac{3\sqrt{3}+9}{2}
Calculate the square root of 81 and get 9.
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