Question

Rationalis the denominator of 1/3+sqrt5​

Answer 1

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

I hope this helps.