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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
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Correct Answer: Option A
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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