Let's simplify the given equation step by step:
Simplify (3^0.5 + 2^-1)^2(√3 + 1/2)^= (√3 + 1/2)(√3 + 1/2= 3 + √3/2 + √3/2 + 1/= 3 + √3 + √3 + 1/= 3 + 2√3 + 1/= 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)/= 2 - √3
Add the two results together(3 + 2√3 + 0.25) + (2 - √3= 3 + 2√3 + 0.25 + 2 - √= 5 + √3
Therefore, the final simplified result is 5 + √3.
Let's simplify the given equation step by step:
Simplify (3^0.5 + 2^-1)^2
(√3 + 1/2)^
= (√3 + 1/2)(√3 + 1/2
= 3 + √3/2 + √3/2 + 1/
= 3 + √3 + √3 + 1/
= 3 + 2√3 + 1/
= 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)/
= 2 - √3
Add the two results together
(3 + 2√3 + 0.25) + (2 - √3
= 3 + 2√3 + 0.25 + 2 - √
= 5 + √3
Therefore, the final simplified result is 5 + √3.