🎥 Video Solution:
📘 Rationalise & Simplify:
\[ \frac{2\sqrt{6} – \sqrt{5}}{3\sqrt{5} – 2\sqrt{6}} \]
✏️ Solution:
\[ = \frac{2\sqrt{6} – \sqrt{5}}{3\sqrt{5} – 2\sqrt{6}} \times \frac{3\sqrt{5} + 2\sqrt{6}}{3\sqrt{5} + 2\sqrt{6}} \]
\[ = \frac{(2\sqrt{6} – \sqrt{5})(3\sqrt{5} + 2\sqrt{6})}{(3\sqrt{5})^2 – (2\sqrt{6})^2} \]
\[ = \frac{6\sqrt{30} + 24 – 15 – 2\sqrt{30}}{45 – 24} \]
\[ = \frac{4\sqrt{30} + 9}{21} \]
✅ Final Answer: \(\frac{4\sqrt{30} + 9}{21}\)