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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. \(\frac{2}{9}\)
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Correct Answer: Option A
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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