(8/3)*[6]√(9)+[3]√(-24)＋[3]√(1/9)=(8/3)*9^(1/6)+(-24)^(1/3)+(1/9)^(1/3)
=(8/3)*3^(1/3)-(2^3*3)^(1/3)+3^(-2/3)=2^3*3^(-2/3)-2*3^(1/3)+3^(-2/3)
=3^(-2/3)(8+1)-2*3^(1/3)=3*3^(1/3)-2*3^(1/3)=3^(1/3)=[3]√3