Simplify 3 sqrt 45 -12 sqrt 5 16 sqrt 20 leavin... - WAEC Mathematics 2007 Question
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 option: a
\(3\sqrt{45}-12\sqrt{5}+16\sqrt{20}\
3\sqrt{5\times 9}-12\sqrt{5}+16\sqrt{4\times 5}\
3\times 3\sqrt{5}-12\sqrt{5}+16\times 2\sqrt{5}\
9\sqrt{5}-12\sqrt{5}+32\sqrt{5}\
29\sqrt{5}\)
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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