Evaluate
\frac{15}{4}-3\sqrt{3}\approx -1.446152423
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\frac{\left(5\sqrt{3}-12\right)\sqrt{3}}{4}
Express \frac{5\sqrt{3}-12}{4}\sqrt{3} as a single fraction.
\frac{5\left(\sqrt{3}\right)^{2}-12\sqrt{3}}{4}
Use the distributive property to multiply 5\sqrt{3}-12 by \sqrt{3}.
\frac{5\times 3-12\sqrt{3}}{4}
The square of \sqrt{3} is 3.
\frac{15-12\sqrt{3}}{4}
Multiply 5 and 3 to get 15.
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