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

MATHEMATICS
WAEC 2002

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

  • A. \(7\sqrt{3}\)
  • B. \(10\sqrt{3}\)
  • C. \(14\sqrt{3}\)
  • D. \(18\sqrt{3}\)

Correct Answer: C. \(14\sqrt{3}\)

Explanation

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

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

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

= \(14\sqrt{3}\)



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