🎥 Video Solution:
📘 Rationalise:
\[ \frac{3\sqrt{2} + 1}{2\sqrt{5} – 3} \]
✏️ Solution:
\[ = \frac{3\sqrt{2} + 1}{2\sqrt{5} – 3} \times \frac{2\sqrt{5} + 3}{2\sqrt{5} + 3} \]
\[ = \frac{(3\sqrt{2} + 1)(2\sqrt{5} + 3)}{(2\sqrt{5})^2 – 3^2} \]
\[ = \frac{6\sqrt{10} + 9\sqrt{2} + 2\sqrt{5} + 3}{20 – 9} \]
\[ = \frac{6\sqrt{10} + 9\sqrt{2} + 2\sqrt{5} + 3}{11} \]
✅ Final Answer: \(\frac{6\sqrt{10} + 9\sqrt{2} + 2\sqrt{5} + 3}{11}\)