🎥 Video Solution:
📘 Rationalise:
\[ \frac{30}{5\sqrt{3} – 3\sqrt{5}} \]
✏️ Solution:
\[ = \frac{30}{5\sqrt{3} – 3\sqrt{5}} \times \frac{5\sqrt{3} + 3\sqrt{5}}{5\sqrt{3} + 3\sqrt{5}} \]
\[ = \frac{30(5\sqrt{3} + 3\sqrt{5})}{(5\sqrt{3})^2 – (3\sqrt{5})^2} \]
\[ = \frac{30(5\sqrt{3} + 3\sqrt{5})}{75 – 45} \]
\[ = \frac{30(5\sqrt{3} + 3\sqrt{5})}{30} \]
\[ = 5\sqrt{3} + 3\sqrt{5} \]
✅ Final Answer: \(5\sqrt{3} + 3\sqrt{5}\)