Question 981022
{{{ (sqrt(3)-5)/(sqrt(3)+5) =
((sqrt(3)-5)/(sqrt(3)+5))((-sqrt(3)+5)/(-sqrt(3)+5))}}}
{{{ (sqrt(3)-5)/(sqrt(3)+5) =(-3+5sqrt(3)+5sqrt(3)-25)/(-3+5sqrt(3)-5sqrt(3)+25)}}}
{{{ (sqrt(3)-5)/(sqrt(3)+5) =(-28+10sqrt(3))/(22)}}}
{{{ (sqrt(3)-5)/(sqrt(3)+5) =(-14+5sqrt(3))/(11)}}}
The answer in the book is the same as this when you expand it.
{{{(-sqrt(3)+5)^2=3-10sqrt(3)+25=28-10sqrt(3)}}}
So then,
{{{-(-sqrt(3)+5)^2/22=-(28-10sqrt(3))/22=-(14-5sqrt(3))/11=(-14+5sqrt(3))/11}}}