🎥 Video Solution:
📘 Rationalise & Simplify:
\[ \frac{5 + 2\sqrt{3}}{7 + 4\sqrt{3}} \]
✏️ Solution:
\[ = \frac{5 + 2\sqrt{3}}{7 + 4\sqrt{3}} \times \frac{7 – 4\sqrt{3}}{7 – 4\sqrt{3}} \]
\[ = \frac{(5 + 2\sqrt{3})(7 – 4\sqrt{3})}{7^2 – (4\sqrt{3})^2} \]
\[ = \frac{35 – 20\sqrt{3} + 14\sqrt{3} – 24}{49 – 48} \]
\[ = \frac{11 – 6\sqrt{3}}{1} \]
\[ = 11 – 6\sqrt{3} \]
✅ Final Answer: \(11 – 6\sqrt{3}\)