Question

if a+b√3=√3-1/√3+1, find the values of a and b​

Answer 1

Answer:

a=2,b=1.

Step-by-step explanation:

√3-1\√3+1=a-b√3

(Rationalize the denominator)

In LHS:-

= (√3-1)(√3-1)\(√3+1)(√3-1)

= 3+1-2√3\3-1

=4-2√3\2

(Taking 2 common from numerator)

=2-√3 (1)

In RHS:-

a-b√3. (2)

A.T.Q(according to question)

(1)=(2)

2-√3=a-b√3 (Comparing both equations)

So, a=2,b=1.