Question

If a and b are rational number find the value of a and b each of the following equalities (1) root 3 -1/root 3+1=a +b root 3

Answer 1

√3-1/√3+1 =  (√3-1)²/(√3+1)(√3-1) = 3+1 -2√3 / 3-1
= 4-2√3/2 = 2-√3 = a +b√3

a=2              b=-1