∵x=√3-1
∴x/(x-1)=(√3-1)/(√3-2)
=(√3-1)(√3+2)/(3-4)
=-(3-2+√3)
=-(√3+1)
∴x²/(x²-2x+1)
=x²/(x-1)²
=[x/(x-1)]²
=(√3+1)²
=4+2√3