\(3\sqrt{12} + 10\sqrt{3} - \frac{6}{\sqrt{3}}\)

= \(3(\sqrt{4 \times 3}) + 10\sqrt{3} - (\frac{6}{\sqrt{3}})(\frac{\sqrt{3}}{\sqrt{3}})\)

= \(6\sqrt{3} + 10\sqrt{3} - 2\sqrt{3}\)

= \(14\sqrt{3}\)