Question

rationalise the denominator ​

Answer 1

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Answer 2

Solution :

$\implies \frac{1}{2 \sqrt{7} - 2} \\ \\ \implies \: \frac{1}{2 \sqrt{7} - 2 } \times \frac{2 \sqrt{7} + 2}{2 \sqrt{7} + 2} \\ \\ \implies \: \frac{2 \sqrt{7} + 2}{ {2 \sqrt{7} }^{2} - {2}^{2} } \\ \\ \implies \frac{2 \sqrt{7} + 2}{28 - 4} \\ \\ \implies \: \frac{2( \sqrt{7} + 1)}{24} \\ \\ \implies \: \frac{ \sqrt{7} + 1}{12}$