`e)` `(3sqrt5-2sqrt2)/(2sqrt5-3sqrt2)`
`=((3sqrt5-2sqrt2)(2sqrt5+3sqrt2))/((2sqrt5-3sqrt2)(2sqrt5+3sqrt2))`
`=(30+9sqrt10-4sqrt10-12)/2`
`=(18+5sqrt10)/2`
`g)` `8/(sqrt2)=(8sqrt2)/(sqrt2.sqrt2)`
`=(8sqrt2)/2=4sqrt2`
`h)` `(3+2sqrt2)/(sqrt2+1)`
`=(2+2sqrt2+1)/(sqrt2+1)`
`=((sqrt2+1)^2)/(sqrt2+1)=sqrt2+1`
`k)` `(sqrt5-sqrt3)/(sqrt2)`
`=(sqrt2(sqrt5-sqrt3))/(sqrt2.sqrt2)`
`=(sqrt10-sqrt6)/2`
`i)` `(2sqrt10-5)/(4-sqrt10)`
`=(sqrt5(2sqrt2-sqrt5))/(sqrt2(2sqrt2-sqrt5))`
`=(sqrt5)/(sqrt2)=(sqrt5.sqrt2)/(sqrt2.sqrt2)`
`=(sqrt10)/2`
`m)` `(9-2sqrt3)/(3sqrt6-2sqrt2)`
`=(sqrt3(3sqrt3-2))/(sqrt2(3sqrt3-2))`
`=(sqrt3)/(sqrt2)=(sqrt3.sqrt2)/(sqrt2.sqrt2)`
`=(sqrt6)/2`
