当x=根号3+1时,3(x+1)/x×2x/(x+1)(x²-1)÷6/x的值等于

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当x=根号3+1时,3(x+1)/x×2x/(x+1)(x²-1)÷6/x的值等于

3(x+1)/x×2x/(x+1)(x²-1)÷6/x
=6/(x²-1)*x/6
=x/(x²-1)
=(√3+1)/(3+1-2√3-1)
=(√3+1)/(3-2√3)
=(√3+1)(3+2√3)/(9-12)
=(3√3+6+3+2√3)/(-3)
=-(5√3+9)/3