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Simplify frac 1 2 sqrt 32 - sqrt 18 sqrt 2 - WAEC Mathematics 2009 Question

Simplify; (\frac{1}{2}\sqrt{32} - \sqrt{18} \sqrt{2})

A
zero
B
\(\sqrt{2}\)
C
2\(\sqrt{2}\)
D
4\(\sqrt{2}\0
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Correct Option: A

(\frac{1}{2}\sqrt{32} - \sqrt{18} \sqrt{2}) = (\frac{1}{2} (4\sqrt{2}) - 3\sqrt{2} + \sqrt{2})

= 2(\sqrt{2} - 3\sqrt{2} + \sqrt{2})

= 3(\sqrt{2} - 3\sqrt{2} - 3\sqrt{2}) = 0

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