Rationalise (2 + √3)/(2 − √3)

🎥 Video Solution:


📘 Rationalise:

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

✏️ Solution:

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

\[ = \frac{(2 + \sqrt{3})^2}{4 – 3} \]

\[ = 4 + 3 + 4\sqrt{3} \]

\[ = 7 + 4\sqrt{3} \]

✅ Final Answer: \(7 + 4\sqrt{3}\)

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