Question

计算2根号三×根号1.5开立方×根号12开6次方

Answer 1

2×3^(1/2)×(3/2)^(1/6)×(12)^(1/12)

=2×3^(1/2)×(3)^(1/6)×(3)^(1/12)*(1/2)^(1/6)*(1/4)^(1/12)

=2*3^(1/2+1/6+1/12)*(1/2)^(1/6+1/6)

=2*3^(3/4)*(1/2)^(1/3)

=4.5590141139096