🎥 Video Solution:
📘 Rationalise:
\[ \frac{\sqrt{6}}{\sqrt{2} + \sqrt{3}} \]
✏️ Solution:
\[ = \frac{\sqrt{6}}{\sqrt{2} + \sqrt{3}} \times \frac{\sqrt{2} – \sqrt{3}}{\sqrt{2} – \sqrt{3}} \]
\[ = \frac{\sqrt{6}(\sqrt{2} – \sqrt{3})}{2 – 3} \]
\[ = \frac{\sqrt{12} – \sqrt{18}}{-1} \]
\[ = \frac{2\sqrt{3} – 3\sqrt{2}}{-1} \]
\[ = 3\sqrt{2} – 2\sqrt{3} \]
✅ Final Answer: \(3\sqrt{2} – 2\sqrt{3}\)