根号12乘以三次根号下2/3乘以6次根号下12,等于多少?

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根号12乘以三次根号下2/3乘以6次根号下12,等于多少?根号12乘以三次根号下2/3乘以6次根号下12,等于多少?根号12乘以三次根号下2/3乘以6次根号下12,等于多少?=12^(1/2)*(2/

根号12乘以三次根号下2/3乘以6次根号下12,等于多少?
根号12乘以三次根号下2/3乘以6次根号下12,等于多少?

根号12乘以三次根号下2/3乘以6次根号下12,等于多少?
=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

=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)
=...

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=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)
最后=三次根号下96
根号12乘以三次根号下2/3乘以6次根号下12
化为 6次根号下(12的立方乘以2/3的平方乘以12)
等于 6次根号下(96的平方)
等于 3次根号下96.

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