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Simplify \(\frac{\sqrt{98} - \sqrt{50}}{\sqrt{32}}\)

Mathematics
JAMB 2003

Simplify \(\frac{\sqrt{98} - \sqrt{50}}{\sqrt{32}}\)

  • A. 3
  • B. 1
  • C. \(\frac{1}{2}\)
  • D. \(\frac{1}{4}\)
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Correct Answer: Option C
Explanation

\(\frac{\sqrt{98} - \sqrt{50}}{\sqrt{32}}\) = \(\frac{\sqrt{49 \times 2} - \sqrt{25 \times 2}}{\sqrt{16 \times 2}}\)
=> \(\frac{7\sqrt{2} - 5\sqrt{2}}{4\sqrt{2}}\) = \(\frac{2\sqrt{2}}{4\sqrt{2}}\) = \(\frac{1}{2}\)

There is an explanation video available below.


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Explanation Video

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