Question

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

Answer 1

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