Question

Answer 1

`A = sqrt (3 - sqrt 5) xx sqrt 2 xx 2`.

`= sqrt(6 - 2 sqrt 5) xx 2`.

`= sqrt((sqrt 5 - 1)^2) xx 2`

`=2 sqrt 5 - 2`

Answer 2

\(\sqrt{3-\sqrt{5}}.\sqrt{8}\\ =\sqrt{8\left(3-\sqrt{5}\right)}\\ =\sqrt{28-8\sqrt{5}}\\ =\sqrt{16-2.4.\sqrt{5}+5}\\ =\sqrt{\left(4-\sqrt{5}\right)^2}\\ =4-\sqrt{5}\)