Simplify 4 sqrt 27 5 sqrt 12 3 sqrt 75 - JAMB Mathematics 2017 Question
Simplify 4(\sqrt{27}) + 5(\sqrt{12}) − 3(\sqrt{75})
A
7
B
− 7
C
− 7\(\sqrt{3}\)
D
7\(\sqrt{3}\)
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Correct Option: D
4(\sqrt{27}) + 5(\sqrt{12}) − 3(\sqrt{75})
= 4(\sqrt{3}) × 9 + 5(\sqrt{3}) × 4 − 3(\sqrt{3}) × 25
= 4 × 3(\sqrt{3}) + 5 × 2(\sqrt{3}) − 3 × 5(\sqrt{3})
= 12(\sqrt{3}) + 10(\sqrt{3}) − 15(\sqrt{3})
= (12 + 10 − 15)(\sqrt{3})
= 7(\sqrt{3})
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