🎥 Video Solution:
📘 Rationalise:
\[ \frac{6 – 4\sqrt{2}}{6 + 4\sqrt{2}} \]
✏️ Solution:
\[ = \frac{6 – 4\sqrt{2}}{6 + 4\sqrt{2}} \times \frac{6 – 4\sqrt{2}}{6 – 4\sqrt{2}} \]
\[ = \frac{(6 – 4\sqrt{2})^2}{6^2 – (4\sqrt{2})^2} \]
\[ = \frac{36 + 32 – 48\sqrt{2}}{36 – 32} \]
\[ = \frac{68 – 48\sqrt{2}}{4} \]
\[ = 17 – 12\sqrt{2} \]
✅ Final Answer: \(17 – 12\sqrt{2}\)