Rationalise (√3 − √2)/(√3 + √2)

🎥 Video Solution:


📘 Rationalise & Simplify:

\[ \frac{\sqrt{3} – \sqrt{2}}{\sqrt{3} + \sqrt{2}} \]

✏️ Solution:

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

\[ = \frac{(\sqrt{3} – \sqrt{2})^2}{3 – 2} \]

\[ = 3 + 2 – 2\sqrt{6} \]

\[ = 5 – 2\sqrt{6} \]

✅ Final Answer: \(5 – 2\sqrt{6}\)

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