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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