Simplify \(3\sqrt{45}-12\sqrt{5}+16\sqrt{20}\)leaving your answer in surd form
-
\(29\sqrt{5}\)
- \(14\sqrt{15}\)
- \(12\sqrt{15}\)
- \(11\sqrt{5}\)
The correct answer is: A
Explanation
\(3\sqrt{45}-12\sqrt{5}+16\sqrt{20}\\3\sqrt{5\times 9}-12\sqrt{5}+16\sqrt{4\times 5}\\
3\times 3\sqrt{5}-12\sqrt{5}+16\times 2\sqrt{5}\\
9\sqrt{5}-12\sqrt{5}+32\sqrt{5}\\
29\sqrt{5}\)