`A = sqrt3 - 2/(2 - sqrt3) + sqrt{(1 - sqrt3)^2}`
`= sqrt3 - (2(2 + sqrt3))/((2 - sqrt3)(2 + sqrt3)) + |1 - sqrt3|`
`= sqrt3 - (4 + 2sqrt3)/(4 - 3) + sqrt3 - 1`
`= 2sqrt3 + (-(4 + 2sqrt3))/1 - 1`
`= 2sqrt3 + (-4 - 2sqrt3) - 1`
`= 2sqrt3 - 4 - 2sqrt3 - 1`
`= -5`
Vậy `A = -5`