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\(\sqrt{5}\)
Verified Correct Answer: D.
Step-by-Step Mathematical Solution
\(\frac{3\sqrt{5} \times 4\sqrt{6}}{2 \sqrt{3} \times 3\sqrt{2}}\)
= \(\frac{\sqrt{5} \times 2\sqrt{6}}{\sqrt{2} \times \sqrt{3}}\)
= \(\frac{\sqrt{5} \times 2 \sqrt{6}}{\sqrt{6}}\)
= 2\(\sqrt{5}\)
Source: WAEC / JAMB / NECO Classroom Archive (Record #36731)