根号12乘以三次根号下2/3乘以6次根号下12,等于多少?
问题描述：
根号12乘以三次根号下2/3乘以6次根号下12,等于多少?
答
=12^(1/2)*(2/3)^(1/3)*12^(1/6)=12^(1/2+1/6)*(2/3)^(1/3)=12^(2/3)*(2/3)^(1/3)=(12^2)^(1/3)*(2/3)^(1/3)=144^(1/3)*(2/3)^(1/3)=(144*2/3)^(1/3)=96^(1/3)=三次根号下96