2根号3X3次根号1.5X6次根号12
问题描述：
2根号3X3次根号1.5X6次根号12
答
2根号3X3次根号1.5X6次根号12=2*(3^0.5)*(3^(1/3))*(3^(1/6))*(4^(1/6))/(2^(1/3))
=2*3^(1/3+1/6+1/2)=2*3=6
[因为4^(1/6)=2^(2*(1/6).....]
答
=3^(1/2)×(3/2)^(1/3)×(2²×3)^(1/6)
=3^(1/2+1/3+1/6)×2^(2×1/6-1/3)
=3^1×2^0
=3
答
=2√3X1.5^1/3X12^1/6
=2X3^1/2X3^1/3X2^-1/3X3^1/6X4^1/6
=2X3^(1/2+1/3+1/6)X2^(-1/3+2X1/6)
=2X3X1
=6