((9*(3^0.5)+5*(11^0.5))/6*(3^0.5))^(1/3)+((9*(3^0.5)-5*(11^0.5))/6*(3^0.5))^(1/3)解:设3^0.5=a 11^0.5=b原式= (9a+5b)/6*a^(1/3)+(9a-5b)/6*a^(1/3)= [(9a+5b)/6+(9a-5b)/6]*a^(1/3)=3a*a^(1/3)=3a^(4/3)=3*3^(2/3)=3*三次根号9