Solve `(sqrt(3)-1)/(sqrt(3)+1)=a-b sqrt(3)`

If both a and b are rational numbers,find the values of a and b in each of the following equalities :(sqrt(3)-1)/(sqrt(3)+1)=a+b sqrt(3)( ii) (3+sqrt(7))/(3-sqrt(7))=a+b sqrt(7)(5+2sqrt(3))/(7+4sqrt(3))=a+b sqrt(3)( iv) (5+sqrt(3))/(7-sqrt(3))=47a+sqrt(3)b(sqrt(5)+sqrt(3))/(sqrt(5)-sqrt(3))=a+b sqrt(15) (iv) (sqrt(2)+sqrt(3))/(3sqrt(2)-2sqrt(3))=1-b sqrt(3)

In each of the following determine rational number a and b:(sqrt(3)-1)/(sqrt(3)+1)=a-b sqrt(3)( ii) (4+sqrt(2))/(2+sqrt(2))=a-sqrt(b)

Find the value of a and b if (sqrt(3)-1)/(sqrt(3)+1)=a+b sqrt(3)

12.Rationalise and find the value of' "a'" and "'b'" ; (i) "(sqrt(3)-1)/(sqrt(3)+1)=a+b sqrt(3), (ii) (sqrt(5)-2)/(sqrt(5)+2)=a+b sqrt(5)

simplify the expression and find a and b (sqrt(3)+1)/(sqrt(3)-1)=a+b sqrt(3)

Solve sqrt(x-1)>sqrt(3-x)

Solve: (1)/(sqrt(3)-8)-(1)/(sqrt(8)-sqrt(7))

If a=(sqrt(3)+1)/(sqrt(3)-1) and b=(sqrt(3)-1)/(sqrt(3)+1) ,find the value of a^(2)+ab-b^(2)