Question 747701
If you meant to write:

{{{(sqrt(11)+sqrt(5))/(sqrt(11)-sqrt(5))}}}


then...

{{{((sqrt(11)+sqrt(5))/(sqrt(11)-sqrt(5)))*((sqrt(11)+sqrt(5))/(sqrt(11)+sqrt(5)))=
(11+5+2sqrt(11)sqrt(5))/(11-5)=8/3+sqrt(55)/3

}}}