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Simplify (\(\sqrt2 + \frac{1}{\sqrt3})(\sqrt2 - \frac{1}{\sqrt3}\))

Mathematics
JAMB 2011

Simplify (\(\sqrt2 + \frac{1}{\sqrt3})(\sqrt2 - \frac{1}{\sqrt3}\))
  • A. \(\frac{7}{3}\)
  • B. \(\frac{5}{3}\)
  • C. \(\frac{5}{2}\)
  • D. \(\frac{3}{2}\)
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Correct Answer: Option B
Explanation
(\(\sqrt2 + \frac{1}{\sqrt3})(\sqrt2 - \frac{1}{\sqrt3}\))

\(\sqrt4 - \frac {\sqrt2}{\sqrt3} + \frac {\sqrt2}{\sqrt3} - \frac {1}{\sqrt9}\)

= 2 - \(\frac {1}{3}\)

= \(\frac {16 - 1}{3}\)

= \(\frac{5}{3}\)

There is an explanation video available below.


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Explanation Video

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