Rationalise Surds Expressions

🎥 Video Solution:


📘 Rationalise:

1. \[ \frac{\sqrt{2} + \sqrt{5}}{\sqrt{3}} \]

\[ = \frac{\sqrt{2} + \sqrt{5}}{\sqrt{3}} \times \frac{\sqrt{3}}{\sqrt{3}} \]

\[ = \frac{\sqrt{6} + \sqrt{15}}{3} \]

✅ Answer: \(\frac{\sqrt{6} + \sqrt{15}}{3}\)


2. \[ \frac{3\sqrt{2}}{\sqrt{5}} \]

\[ = \frac{3\sqrt{2}}{\sqrt{5}} \times \frac{\sqrt{5}}{\sqrt{5}} \]

\[ = \frac{3\sqrt{10}}{5} \]

✅ Answer: \(\frac{3\sqrt{10}}{5}\)

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