Đáp án+Giải thích các bước giải:
`c)(2/(sqrt3-1)+3/(sqrt3-2)+15/(3-sqrt3))*1/(sqrt3+5)`
`=(2(sqrt3+1))/(3-1)+(3(sqrt3+2))/(3-4)+(15(3+sqrt3))/(9-3))*1/(sqrt3+5)`
`=(sqrt3+1-3sqrt3-6+(15+5sqrt3)/2)*1/(5+sqrt3)`
`=((-10-4sqrt3+15+5sqrt3)/2)*1/(5+sqrt3)`
`=(5+sqrt3)/2*1/(5+sqrt3)`
`=1/2`
`d)1/(3-sqrt7)-1/(3+sqrt7)+sqrt5/(sqrt5-1)`
`=(3+sqrt7)/(9-7)-(3-sqrt7)/(9-7)+(sqrt5(sqrt5+1))/(5-1)`
`=(3+sqrt7-3+sqrt7)/2+(5+sqrt5)/4`
`=sqrt7+(5+sqrt5)/4`
`=(5+sqrt5+4sqrt7)/4`
`g)10/(sqrt11-sqrt6)+10/(sqrt11+sqrt6)`
`=(10(sqrt11+sqrt6))/(11-6)+(10(sqrt11-sqrt6))/(11-6)`
`=(10(sqrt11+sqrt6+sqrt11-sqrt6))/5`
`=2.2sqrt11=4sqrt11`
`h)15/(sqrt6+1)+4/(sqrt6-2)+12/(sqrt6-3)-sqrt6(3/(sqrt5-sqrt2)+4/(sqrt6+sqrt2))(sqrt3-1)^2`
`=15(sqrt6-1))/(6-1)+(4(sqrt6+2))/(6-4)+(12(sqrt6+3))/(6-9)-sqrt6((3(sqrt5+sqrt2))/(5-2)+(4(sqrt6-sqrt2))/(6-2))*(4-2sqrt3)`
`=3(sqrt6-1)+2(sqrt6+2)-4(sqrt6+3)-sqrt6(sqrt5+sqrt2+sqrt6-sqrt2)*(4-2sqrt3)`
`=3sqrt6-3+2sqrt6+4-4sqrt6-12-sqrt6(sqrt5+sqrt6)*(4-2sqrt3)`
`=sqrt6-13-sqrt6(4sqrt5-2sqrt15+4sqrt6-3sqrt2)`
`=sqrt6-13-4sqrt30+6sqrt10-24+9sqrt2`
