
已知a=2+根号3,b=2-根号3,求b分之a-a分之b的值
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a/b-b/a
=(a²-b²)/(ab)
=(a+b)(a-b)/[(2+根号3)(2-根号3)]
=[(2+根号3)+(2-根号3)][(2+根号3)-(2-根号3)]/[2²-(根号3)²]
=(4)(2根号3)/(4-3)
=8根号3
=(a²-b²)/(ab)
=(a+b)(a-b)/[(2+根号3)(2-根号3)]
=[(2+根号3)+(2-根号3)][(2+根号3)-(2-根号3)]/[2²-(根号3)²]
=(4)(2根号3)/(4-3)
=8根号3
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