🎥 Video Solution:
📘 Rationalise & Simplify:
\[ \frac{1 + \sqrt{2}}{3 – 2\sqrt{2}} \]
✏️ Solution:
\[ = \frac{1 + \sqrt{2}}{3 – 2\sqrt{2}} \times \frac{3 + 2\sqrt{2}}{3 + 2\sqrt{2}} \]
\[ = \frac{(1 + \sqrt{2})(3 + 2\sqrt{2})}{3^2 – (2\sqrt{2})^2} \]
\[ = \frac{3 + 2\sqrt{2} + 3\sqrt{2} + 4}{9 – 8} \]
\[ = \frac{7 + 5\sqrt{2}}{1} \]
\[ = 7 + 5\sqrt{2} \]
✅ Final Answer: \(7 + 5\sqrt{2}\)