Question

find a and b :root 3 -1 /root 3 +1 = a+b root 3

Answer 1

Answer:

Step-by-step explanation:

(√3-1) /(√3+1)=a+b√3

Rationalise √3-1/√3+1

Multiply both sides by √3-1

(√3-1)²/(√3+1) (√3-1) =

(3+1-2√3) /(3-1) =

(4-2√3) /2=2-√3

2-√3=a+b√3

a=2

b=(-1)

Answer 2

Answer:

a=2

b=(-1)

Step-by-step explanation:

(√3-1) /(√3+1)=a+b√3

Rationalise √3-1/√3+1

Multiply both sides by √3-1

(√3-1)²/(√3+1) (√3-1) =

(3+1-2√3) /(3-1) =

(4-2√3) /2=2-√3

2-√3=a+b√3

a=2

b=(-1)