A) \(\left( \sqrt{11}+\sqrt{2}^2 \right) \) |
B) 9\(\left( \sqrt{11}+\sqrt{2} \right) \) |
C) \(\left( \sqrt{11} - \sqrt{2} \right) \) |
D) None of these. |
C) \(\left( \sqrt{11} - \sqrt{2} \right) \) |
\( \Large \frac{9}{\sqrt{11} + \sqrt{2}} \) = \( \Large \frac{9}{\sqrt{11} + \sqrt{2}} \times \frac{\sqrt{11} - \sqrt{2}}{\sqrt{11} - \sqrt{2}}\)
=\( \Large \frac{9\left(\sqrt{11} - \sqrt{2}\right)}{11- 2} \)
=\( \Large \frac{9\left(\sqrt{11} - \sqrt{2}\right)}{9} \)
= \( \sqrt{11} - \sqrt{2} \)