Express \(\frac{3}{3 – √6}\) in the form \(x + m√y\)
- 3 - 3 √6
- 3 + 3√6
-
3 + √6
- 3 - √6
The correct answer is: 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