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If \(\frac{5}{\sqrt{2}}\) - \(\frac{\sqrt{8}}{8}\) = m\(\sqrt{2}\), find the value of m

Further Mathematics
WAEC 2024

If \(\frac{5}{\sqrt{2}}\) - \(\frac{\sqrt{8}}{8}\) = m\(\sqrt{2}\), find the value of m

  • A. \(\frac{12}{5}\)
  • B. \(\frac{9}{4}\)
  • C. \(\frac{7}{3}\)
  • D. \(\frac{5}{2}\)
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Correct Answer: Option B
Explanation

\(\frac{5}{\sqrt{2}}\) - \(\frac{\sqrt{8}}{8}\) = m\(\sqrt{2}\)

\(\frac{5\sqrt{2}}{2}\) - \(\frac{\sqrt{8}}{8}\) = \(\frac{20 \sqrt{2} - 2\sqrt{2}}{8}\) 

= \(\frac{18\sqrt{2}}{8}\) = \(\frac{9\sqrt{2}}{4}\) = m\(\sqrt{2}\)

Therefore, m = \(\frac{9}{4}\) → by comparing 


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WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 127076
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