Simplify; \(\frac{1}{2}\sqrt{32} - \sqrt{18} \sqrt{2}\)
MATHEMATICS
WAEC 2009
Simplify; \(\frac{1}{2}\sqrt{32} - \sqrt{18} \sqrt{2}\)
- A. zero
- B. \(\sqrt{2}\)
- C. 2\(\sqrt{2}\)
- D. 4\(\sqrt{2}\)
Correct Answer: A. zero
Explanation
\(\frac{1}{2}\sqrt{32} - \sqrt{18} \sqrt{2}\) = \(\frac{1}{2} (4\sqrt{2}) - 3\sqrt{2} + \sqrt{2}\)
= 2\(\sqrt{2} - 3\sqrt{2} + \sqrt{2}\)
= 3\(\sqrt{2} - 3\sqrt{2} - 3\sqrt{2}\) = 0
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