Question

Rationalise the denominator 2 by 3 + root 5

Answer 1

$= \frac{2}{3 + \sqrt{5} } \times \frac{3 - \sqrt{5} }{3 - \sqrt{5} } \\ = \frac{6 - 2 \sqrt{5} }{3 ^{2} - (\sqrt{5} )^{2} } </p><p>\\ = \frac{6 - 2 \sqrt{5} }{9 - 5} \\ = \frac{6 - 2 \sqrt{5} }{4} \\ = \frac{3 - \sqrt{2} }{2}$