Question

How do you simplify `2/(4-sqrt6)`?

Answer 1

It is

#2/(4-sqrt6)=[2*(4+sqrt6)]/[(4-sqrt6)*(4+sqrt6)]= [2*(4+sqrt6)]/(4^2-(sqrt6)^2)= 2*(4+sqrt6)/[16-6]=2/10*(4+sqrt6)=1/5*(4+sqrt6)#