Question

please tell with explanation ​

Answer 1

(√3-1)/(√3+1) = a + b√3

rationalizing the numerator and denominator

(√3-1)(√3-1)/(√3+1) (√3-1) = a+ b√3

=> a + b√3 = (√3+1)²/(3-1)

=> a + b√3 =( 3+1+2√3)/2

=> a + b√3 = (4+2√3)/2

=> a + b√3 = 2+√3

Comparing both sides, we have

a = 2

a = 2 b = 1