Question on: WAEC Mathematics - 2007
Simplify 3(\sqrt{45} - 12\sqrt{15} + 16\sqrt{20}), leaving your answer in surd form
A
29\(\sqrt{5}\)
B
14\(\sqrt{15}\)
C
12\(\sqrt{15}\)
D
11\(\sqrt{15}\)
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Correct Option: A
3 (\sqrt{45} - 12\sqrt{5} + 16\sqrt{20})
= 3 x (\sqrt{9 \times 5} - 12 \times \sqrt{5} + 16 \times \sqrt{4 \times 5})
= 3 x 3 x (\sqrt{5} - 12 \times \sqrt{5} + 16 \times 2 \times \sqrt{5})
= 9(\sqrt{5} - 2 \sqrt{5} + 32 \sqrt{5})
= 9(\sqrt{5} + 32\sqrt{5} - 12\sqrt{5})
= 29(\sqrt{5})
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