Rationalise the denominator

\[ \frac{1}{\sqrt{7} + 2} \]

Solution:

\[ \frac{1}{\sqrt{7} + 2} \times \frac{\sqrt{7} – 2}{\sqrt{7} – 2} \]

\[ = \frac{\sqrt{7} – 2}{7 – 4} \]

\[ = \frac{\sqrt{7} – 2}{3} \]

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