根号12乘以三次根号下2/3乘以6次根号下12,等 - 知识问答

根号12乘以三次根号下2/3乘以6次根号下12,等于多少?

2个回答

=12^(1/2)*(2/3)^(1/3)*12^(1/6)
=12^(1/2+1/6)*(2/3)^(1/3)
=12^(2/3)*(2/3)^(1/3)
=(12^2)^(1/3)*(2/3)^(1/3)
=144^(1/3)*(2/3)^(1/3)
=(144*2/3)^(1/3)
=96^(1/3)
=三次根号下96

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