Let's simplify the given equation step by step:

Simplify (3^0.5 + 2^-1)^2:
(√3 + 1/2)^2
= (√3 + 1/2)(√3 + 1/2)
= 3 + √3/2 + √3/2 + 1/4
= 3 + √3 + √3 + 1/4
= 3 + 2√3 + 1/4
= 3 + 2√3 + 0.25

Simplify (2 + √3)^-1:
= 1/(2 + √3)
= 1/(2 + √3) * (2 - √3)/(2 - √3)
= (2 - √3)/(4 - 3)
= (2 - √3)/1
= 2 - √3

Add the two results together:
(3 + 2√3 + 0.25) + (2 - √3)
= 3 + 2√3 + 0.25 + 2 - √3
= 5 + √3

Therefore, the final simplified result is 5 + √3.