`11)1/(3+sqrt5)+1/(sqrt5-3)=(3-sqrt5)/(9-5)+(sqrt5+3)/(5-9)=(3-sqrt5-3-sqrt5)/4=-sqrt5/2` $\\$ `12)1/(sqrt2-sqrt6)-1/(sqrt6-sqrt2)=(sqrt2+sqrt6)/(2-6)-(sqrt6-sqrt2)/(6-2)=(-sqrt2-sqrt6-sqrt6+sqrt2)/4=-sqrt6/2` $\\$ `13)1/(sqrt2-sqrt3)-3/(sqrt{18}+2sqrt3)=(sqrt2+sqrt3)/(2-3)-(3(sqrt{18}-2sqrt3))/(18-12)=-(sqrt2+sqrt3)-(sqrt{18}-3sqrt2)/2=(-2sqrt2-2sqrt3-3sqrt2+2sqrt3)/2=-(5sqrt2)/2` $\\$ `14)3/(1-sqrt2)+(sqrt2-1)/(sqrt2+1)=(3(1+sqrt2))/(1-2)+(sqrt2-1)^2/(2-1)=-3(1+sqrt2)+3-2sqrt2=-5sqrt2`
Mình đọc không kĩ xin lỗi bạn.
`10)(sqrt5+sqrt6)/(sqrt5-sqrt6)+(sqrt6-sqrt5)/(sqrt6+sqrt5)`
`=(sqrt5+sqrt6)^2/(5-6)+(sqrt6-sqrt5)^2/(6-5)`
`=((sqrt6-sqrt5)^2-(sqrt6+sqrt5)^2)/1`
`=11-2sqrt{30}-11-2sqrt{30}=-4sqrt{30}`