Simplify; \(\frac{3\sqrt{5} \times 4\sqrt{6}}{2 \sqrt{3} \times 3\sqrt{2}}\)
MATHEMATICS
WAEC 2012
Simplify; \(\frac{3\sqrt{5} \times 4\sqrt{6}}{2 \sqrt{3} \times 3\sqrt{2}}\)
- A. \(\sqrt{2}\)
- B. \(\sqrt{5}\)
- C. 2\(\sqrt{2}\)
- D. 2\(\sqrt{5}\)
Correct Answer: D. 2\(\sqrt{5}\)
Explanation
\(\frac{3\sqrt{5} \times 4\sqrt{6}}{2 \sqrt{3} \times 3\sqrt{2}}\)
= \(\frac{\sqrt{5} \times 2\sqrt{6}}{\sqrt{2} \times \sqrt{3}}\)
= \(\frac{\sqrt{5} \times 2 \sqrt{6}}{\sqrt{6}}\)
= 2\(\sqrt{5}\)
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