Question

√3-1/√3+1 =a+b√3
gives it answer

Answer 1

rationalize your LHS ,

√3-1/√3+1= √3-1/√3+1 * √3-1/√3-1

= (√3-1)^2/ √3^2 - 1

=3 - 2√3+1 / 2

=4-2√3/2

= 2-√3

so if 2-√3 = a+b√3

then, a+b = 2 - √3-√3 = 2- 2√3