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. \(11\sqrt{5}\)
Correct Answer: A. \(29\sqrt{5}\)
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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