化简2√3×3次√1.5×6次√12=
问题描述:
化简2√3×3次√1.5×6次√12=
答
2√3×3次√1.5×6次√12
=2×3^1/2 ×(3^1/3/2^1/3) ×(4×3)^1/6
=2×3^1/2 ×3^1/3×2^(-1/3) ×2^1/3×3^1/6
=2×3^(1/2+1/3+1/6)×2^(-1/3+1/3)
=2*3*1
=6