Simplify \(3\sqrt{12} + 10\sqrt{3} – \frac{6}{\sqrt{3}}\)
- \(7\sqrt{3}\)
- \(10\sqrt{3}\)
-
\(14\sqrt{3}\)
- \(18\sqrt{3}\)
The correct answer is: C
Explanation
\(3\sqrt{12} + 10\sqrt{3} - \frac{6}{\sqrt{3}}\)
= \(3(\sqrt{4 \times 3}) + 10\sqrt{3} - (\frac{6}{\sqrt{3}})(\frac{\sqrt{3}}{\sqrt{3}})\)
= \(6\sqrt{3} + 10\sqrt{3} - 2\sqrt{3}\)
= \(14\sqrt{3}\)