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
Correct Answer: C. 3 + √6
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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