write the expression
sq.root of 3 + 5 / sq.root of 3 - 5 as a proper fraction?
I will assume you meant to type
(√3 + 5)/(√3 - 5)
multiply top and bottom by √3 + 5 , that is, rationalize the denominator
=(√3+5)^2 / (3-25)
= (3 + 10√3 + 25)/-22
= - (28+10√3)/22
= - (14 + 5√3)/11