Simplify: \(\sqrt{12} ( \sqrt{48} - \sqrt{3}\))
MATHEMATICS
WAEC 2014
Simplify: \(\sqrt{12} ( \sqrt{48} - \sqrt{3}\))
- A. 18
- B. 16
- C. 14
- D. 12
Correct Answer: A. 18
Explanation
\(\sqrt{12} ( \sqrt{48} - \sqrt{3}\))
\(\sqrt{4 \times 3} (6 \times 3 - \sqrt{3}) = 2 \sqrt{3}(4 \sqrt{3} - \sqrt{3})\)
= 2\(\sqrt{3} \times \sqrt{3} (4 - 1) 2\sqrt{9}(3) = 2 \times 3 \times 3 = 18\)
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