(√3+1)/(√3-1)-(3√2-2√3)(√3+2√3)= (√3+1)² /(√3+1)(√3-1)-[(3√2)²-(2√3)²]=(3+2√3+1)/(3-1)-(18-12)=(4+2√3)/2-6=2+√3-6=√3-4