🎥 Video Solution:
📘 Rationalise:
\[ \frac{\sqrt{3} + 1}{2\sqrt{2} – \sqrt{3}} \]
✏️ Solution:
\[ = \frac{\sqrt{3} + 1}{2\sqrt{2} – \sqrt{3}} \times \frac{2\sqrt{2} + \sqrt{3}}{2\sqrt{2} + \sqrt{3}} \]
\[ = \frac{(\sqrt{3} + 1)(2\sqrt{2} + \sqrt{3})}{(2\sqrt{2})^2 – (\sqrt{3})^2} \]
\[ = \frac{2\sqrt{6} + 3 + 2\sqrt{2} + \sqrt{3}}{8 – 3} \]
\[ = \frac{2\sqrt{6} + 2\sqrt{2} + \sqrt{3} + 3}{5} \]
✅ Final Answer: \(\frac{2\sqrt{6} + 2\sqrt{2} + \sqrt{3} + 3}{5}\)