Evaluate \((2^{0} + 4^{-\frac{1}{2}})^{2}\)

  • A \(\frac{1}{4}\)
  • B \(\frac{5}{4}\)
  • C \(\frac{9}{4}\)
  • D 4
  • E 9
jamb 1980mathematics

The correct answer is C. \(\frac{9}{4}\)

\((2^{0} + 4^{-\frac{1}{2}})^{2}\)

= \((1 + (\frac{1}{4})^{\frac{1}{2}})^{2}\)

= \((1 + \frac{1}{2})^{2}\)

= \((\frac{3}{2})^{2} = \frac{9}{4}\)

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