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Simplify \(\frac{\sqrt{128}}{\sqrt{32} - 2\sqrt{2}}\)

Further Mathematics
WAEC 2017

Simplify \(\frac{\sqrt{128}}{\sqrt{32} - 2\sqrt{2}}\)

  • A. \(2\sqrt{2}\)
  • B. \(3\sqrt{2}\)
  • C. 3
  • D. 4
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Correct Answer: Option D
Explanation

\(\sqrt{128}  = \sqrt{64\times2} = 8\sqrt{2}\)

\(\sqrt{32} = \sqrt{16\times2} = 4\sqrt{2}\)

Simplifying, we have \(\frac{8\sqrt{2}}{4\sqrt{2} - 2\sqrt{2}} = \frac{8\sqrt{2}}{2\sqrt{2}}\)

= 4


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