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Simplify \(\sqrt{50} + \frac{10}{\sqrt{2}}\)

Mathematics
WAEC 2008

Simplify \(\sqrt{50} + \frac{10}{\sqrt{2}}\)
  • A. 10
  • B. 10\(\sqrt{2}\)
  • C. 20
  • D. 20\(\sqrt{2}\)
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Correct Answer: Option B
Explanation
\(\sqrt{50} + \frac{10}}{\sqrt{2}} = \(\frac{\sqrt{50}}{1} + \sqrt{10}{\sqrt{2}}\)

= \(\frac{\sqrt{50 \times 2} + 10}{\sqrt{2}}\)

= \(\frac{\sqrt{100} + 10}{\sqrt{2}}\)

= \(\frac{10 + 10}{\sqrt{2} = \frac{20}{\sqrt{2}}\)

= \(\frac{20}{\sqrt{2}}\) \times \frac{\sqrt{2}}{\sqrt{2}}\)

= \(\frac{20\sqrt{2}}{2}\)

= 10\(\sqrt{2}\)

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