Question

If 1/(2+√3) = a + b√3, what is the value of a and b

Answer 1

Answer:

2-√3= a+b√3

a=2

b= -1.....................

Answer 2

Answer:

a=2    b=-1

Step-by-step explanation:

Rationalizing the denominator we get,

LHS

1/(2+√3) * (2-√3)/(2-√3)

(2-√3)/4-3

2-√3

Equating to RHS

2-√3=a+b√3

Hence   a=2    b=-1