Question

How do you work out; 6 minus square root5 / 1 - square root 5

Answer 1

remember difference of 2 perfect squares?
we do the same for denom, to get the √5 to 5

1-√5 times 1+√5=1-5


so what we do is
(6-√5)/(1-√5) times (1+√5)/(1+√5)=
(1+5√5)/(1-5)=
(1+5√5)/-4=
(-1-5√5)/4