Evaluate
-\frac{3\sqrt{3}}{2}+9\approx 6.401923789
Factor
\frac{3 {(6 - \sqrt{3})}}{2} = 6.401923788646685
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\frac{\left(6\sqrt{3}-3\right)\sqrt{3}}{2}
Express \frac{6\sqrt{3}-3}{2}\sqrt{3} as a single fraction.
\frac{6\left(\sqrt{3}\right)^{2}-3\sqrt{3}}{2}
Use the distributive property to multiply 6\sqrt{3}-3 by \sqrt{3}.
\frac{6\times 3-3\sqrt{3}}{2}
The square of \sqrt{3} is 3.
\frac{18-3\sqrt{3}}{2}
Multiply 6 and 3 to get 18.
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