Simplify \(\sqrt[3]{\frac{8}{27}} - (\frac{4}{9})^{-\frac{1}{2}}\)
FURTHER MATHEMATICS
WAEC 2011
Simplify \(\sqrt[3]{\frac{8}{27}} - (\frac{4}{9})^{-\frac{1}{2}}\)
- A. \(\frac{-5}{6}\)
- B. \(-\frac{4}{27}\)
- C. \(0\)
- D. \(\frac{2}{9}\)
Correct Answer: A. \(\frac{-5}{6}\)
Explanation
\(\sqrt[3]{\frac{8}{27}} - (\frac{4}{9})^{\frac{-1}{2}} \)
\(\frac{2}{3} - (\frac{9}{4})^{\frac{1}{2}}\)
= \(\frac{2}{3} - \frac{3}{2}\)
= \(\frac{-5}{6}\)
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