(3根号2-根号3)(根号3+根号2)负1/6的次方

来源：学生作业学帮网编辑：学帮网时间：2024/07/06 22:53:38

(3√2-√3)( √3+√2)^-1/6

=(3√2-√3)×[1/( √3+√2)^1/6]

=(3√2-√3)×[ ( √3+√2)^5/6/( √3+√2)^5/6 ( √3+√2)^1/6]

=(3√2-√3)×( √3+√2)^5/6/( √3+√2)^5/6+1/6

=(3√2-√3)×( √3+√2)^5/6/( √3+√2)

=[(3√2-√3)×(√3-√2)( √3+√2)^5/6]/[( √3+√2)(√3-√2)]

=(4√6-9)( √3+√2)^5/6/ (3-2)

=(4√6-9)( √3+√2)^5/6

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