(\(\frac{3√6}{√5} + \frac{√54}{3√5}\))\(^{-1}\)
FURTHER MATHEMATICS
WAEC 2022
(\(\frac{3√6}{√5} + \frac{√54}{3√5}\))\(^{-1}\)
- A. \(\frac{5?3}{6}\)
- B. \(\frac{3?15}{6}\)
- C. \(\frac{5?6}{12}\)
- D. \(\frac{5?3}{12}\)
Correct Answer: C. \(\frac{5?6}{12}\)
Explanation
(\(\frac{3√6}{√5} + \frac{√54}{3√5}\))\(^{-1}\)
= \(\frac{√5(3√5)}{3√6 + 3√6}\)
= \(\frac{3*5}{6√6} = \frac{5}{2√6}\)
= \(\frac{5*2√6}{2√6+2√6} = \frac{10√6}{4*6}\)
= \(\frac{5√6}{12}\)
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