27^(1/3)+(√3-1)^2-(1/2)^(-1)+4/(√3+1)
=(3^3)^(1/3)+(4-2√3)-2^1+4(√3-1)/(√3+1)(√3-1)
=3^(3*1/3)+4-2√3-2+4(√3-1)/2
=3^1+2-2√3+2(√3-1)
=3+2-2√3+2√3-2
=3
27^(1/3)+(√3-1)^2-(1/2)^(-1)+4/(√3+1)
=(3^3)^(1/3)+(4-2√3)-2^1+4(√3-1)/(√3+1)(√3-1)
=3^(3*1/3)+4-2√3-2+4(√3-1)/2
=3^1+2-2√3+2(√3-1)
=3+2-2√3+2√3-2
=3