Question

Rationalise the denominator of 1/5+√6

Answer 1

Answer:

$= \frac{1}{5 + \sqrt{6} } \\ \\ = \frac{1}{5 + \sqrt{6} } \times \frac{5 - \sqrt{6} }{5 - \sqrt{6} } \\ \\ = \frac{5 - \sqrt{6} }{(5) {}^{2} - ( \sqrt{6} ) {}^{2} } \\ \\ = \frac{5 - \sqrt{6} }{25 - 6 } \\ \\ = \frac{5 - \sqrt{6} }{19}$

Step-by-step explanation:

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