Giải thích các bước giải:
`(sqrt(3-sqrt5)(3+sqrt5))/(sqrt10+sqrt2)`
`=(sqrt(3-sqrt5)(3+sqrt5))/(sqrt2(sqrt5+1))`
`=(sqrt2 . sqrt(3-sqrt5)(3+sqrt5))/(2(sqrt5+1))`
`=(sqrt(6-2sqrt5)(3+sqrt5))/(2(sqrt5+1))`
`=(sqrt(5-2sqrt5+1)(3+sqrt5))/(2(sqrt5+1))`
`=(sqrt((sqrt5-1)^2)(3+sqrt5))/(2(sqrt5+1))`
`=((sqrt5-1)(3+sqrt5))/(2(sqrt5+1))`
`=((sqrt5-1)(sqrt5+1)(3+sqrt5))/(2(sqrt5+1)(sqrt5-1))`
`=((5-2sqrt5+1)(3+sqrt5))/(2(5-1))`
`=((6-2sqrt5)(3+sqrt5))/8=(2(3-sqrt5)(3+sqrt5))/8`
`=(2(9-5))/8=8/8=1`
