Simplify \(\frac{4\sqrt{18}}{\sqrt{8}}\)
MATHEMATICS
WAEC 2003
Simplify \(\frac{4\sqrt{18}}{\sqrt{8}}\)
- A. 2
- B. 3
- C. 6
- D. 12
Correct Answer: C. 6
Explanation
\(\frac{4\sqrt{18}}{\sqrt{8}}\\
= \frac{4\sqrt{9\times 2}}{\sqrt{4 \times 2}} = \frac{12\sqrt{2}}{2\sqrt{2}}=\frac{6\sqrt{2}}{\sqrt{2}}\\
Rationalising \frac{6\sqrt{2}}{\sqrt{2}}\\
=\frac{6\sqrt{2}}{\sqrt{2}} \times \frac{\sqrt{2}}{\sqrt{2}} = 6\)
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