Question

Rationalise the denominator of
1/3+√5

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Answer 1

Step-by-step explanation:

$\frac{1}{3 + \sqrt{5} } \\ \\ = \frac{1}{3 + \sqrt{5} } \times \frac{3 - \sqrt{5} }{3 - \sqrt{5} } \\ \\ = \frac{3 - \sqrt{5} }{ {(3)}^{2} - ({ \sqrt{5} }^{2} )} \\ \\ = \frac{3 - \sqrt{5} }{9 - 5} \\ \\ = \frac{3 - \sqrt{5} }{4}$

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