2乘(3的1/2方)乘(3/2的1/3方)乘[3乘(2的2方)]的1/6方

问题描述:

2乘(3的1/2方)乘(3/2的1/3方)乘[3乘(2的2方)]的1/6方

2√3*(3/2)^(1/3)*(3*2^2)^(1/6)
=2√3*(3/2)^2^(1/6)*(3*2^2)^(1/6)
=2√3*[(3/2)^2*(3*2^2)]^(1/6)
=2√3*√3
=6