🎥 Video Solution:
📘 Rationalise & Simplify:
\[ \frac{3\sqrt{5} + \sqrt{3}}{\sqrt{5} – \sqrt{3}} \]
✏️ Solution:
\[ = \frac{3\sqrt{5} + \sqrt{3}}{\sqrt{5} – \sqrt{3}} \times \frac{\sqrt{5} + \sqrt{3}}{\sqrt{5} + \sqrt{3}} \]
\[ = \frac{(3\sqrt{5} + \sqrt{3})(\sqrt{5} + \sqrt{3})}{5 – 3} \]
\[ = \frac{15 + 3\sqrt{15} + \sqrt{15} + 3}{2} \]
\[ = \frac{18 + 4\sqrt{15}}{2} \]
\[ = 9 + 2\sqrt{15} \]
✅ Final Answer: \(9 + 2\sqrt{15}\)