2倍根号3×3次根号1.5×6次根号12怎么解
问题描述：
2倍根号3×3次根号1.5×6次根号12怎么解
答
2√3*1.5^(1/3)*12^(1/6)
=2*3^(1/2)*(3/2)^(1/3)*(3*4)^(1/6)
=2^1*2^(-1/3)*2^(1/3)*3^(1/2)*3^(1/3)*3^(1/6)
=2^(1-1/3+1/3)*3^(1/2+1/3+1/6)
=2*3
=6