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Express \(\frac{3}{3 - √6}\) in the form \(x + m√y\)

Further Mathematics
WAEC 2023

Express \(\frac{3}{3 - √6}\) in the form \(x + m√y\)

  • A. 3 - 3 √6
  • B. 3 + 3√6
  • C. 3 + √6
  • D. 3 - √6
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Correct Answer: Option C
Explanation

\(\frac{3}{3 - √3}\)

Rationalize

\(= \frac{3}{3 - √6} \times \frac{3 + √6}{3 + √6}\)

\(=\frac{3(3 + √6)}{(3 - √6)(3 + √6)}\)

\(=\frac{3(3 + √6)}{9 - 6}=\frac{3(3 + √6)}{3}\)

∴ 3 + √6

 


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