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Simplify \(3\sqrt{45}-12\sqrt{5}+16\sqrt{20}\)leaving your answer in surd form

Mathematics
WAEC 2007

Simplify \(3\sqrt{45}-12\sqrt{5}+16\sqrt{20}\)leaving your answer in surd form

  • A. \(29\sqrt{5}\)
  • B. \(14\sqrt{15}\)
  • C. \(12\sqrt{15}\)
  • D. \(11\sqrt{5}\)
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Correct Answer: Option A
Explanation

\(3\sqrt{45}-12\sqrt{5}+16\sqrt{20}\)
3\(\sqrt{5\times 9}-12\sqrt{5}+16\sqrt{4\times 5}\)
3\(\times 3\sqrt{5}-12\sqrt{5}+16\times 2\sqrt{5}\)
9\(\sqrt{5}-12\sqrt{5}+32\sqrt{5}\)
29\(\sqrt{5}\)


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