Question

if (√3-1)/(√3+1)=a-b√3 find a and b

Answer 1

Root 3 -1/root3+1 ×root3-1/root3-1 = 3-2 root3 +1/3-1 (rationalization of denominator ) =4-2 root3/2 =2 (2-root3)/2 =2-root3 Therefore a=2 and b=1