@Su
`h)`
`(sqrt5-2)/(5+2sqrt5)-1/(2+sqrt5)+1/sqrt5`
`= ((sqrt5-2)(5-2sqrt5))/((5+2sqrt5)(5-2sqrt5)) - (1(2-sqrt5))/((2+sqrt5)(2-sqrt5)) + (1sqrt5)/(sqrt5sqrt5)`
`= ((sqrt5-2)(5-2sqrt5))/(5^2 - (2sqrt5)^2) - (2-sqrt5)/(2^2-sqrt5^2) + sqrt5/5`
`= (5sqrt5-10-10+4sqrt5)/5 - [-(2-sqrt5)] + sqrt5/5`
`= (9sqrt5-20)/5 + (2-sqrt5) + sqrt5/5`
`= (9sqrt5-20)/5 + 2 - (4sqrt5)/5`
`= (9sqrt5-20-20+10-4sqrt5)/5`
`= (5sqrt5-10)/5`
`= (5(sqrt5-2))/5`
`= sqrt5 - 2`
`m)`
`(3+2sqrt3)/(sqrt3) + (2+sqrt2)/(sqrt2+1) - (sqrt3+2)`
`= ((3+2sqrt3)sqrt3)/(sqrt3sqrt3) ((2+sqrt2)(sqrt2-1))/((sqrt2+1)(sqrt2-1)) - sqrt3 - 2`
`= (3sqrt3+6)/3 + ((2+sqrt2)(sqrt2-1))/(sqrt2^2 + 1^2) - sqrt3 - 2`
`= (3(sqrt3+2))/3 + (2+sqrt2)(sqrt2-1) - sqrt3 - 2`
`=sqrt3 + 2+ 2sqrt2 - 2 + 2 - sqrt2 - sqrt3 - 2`
`= sqrt2`