To simplify the expression 1/(4+2√3) + 1/(4-2√3), we need to find a common denominator and then combine the fractions.

The conjugate of 4+2√3 is 4-2√3, so we can multiply both the numerator and denominator of 1/(4+2√3) by 4-2√3 and do the same for the other fraction.

(1/(4+2√3))(4-2√3)/(4-2√3) + (1/(4-2√3))(4+2√3)/(4+2√3)
= (4 - 2√3)/(16 - 12)
= (4 - 2√3)/4

= 1 - 0.5√3

Therefore, 1/(4+2√3) + 1/(4-2√3) simplifies to 1 - 0.5√3.