Question

express 1 - 1/1+√3 + 1/1-√3 in the form a + b √3, where a and b are rational number, then the value of a and b respectively are :- a)1,2 b)1,-1 c)3,1 d)2,1 ​

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

Answer:

√3-1\√3+1=a-b√3

(Rationalize the denominator)

In LHS(left hand side)

= (√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.