If [(root 2) - 1] / [(root 2) + 1] = a+b(root 2), find the value of a b.

 Taking LHS 

Multiplying by conjugate

 

 

 

 

 2+1-2

 3-2

We have LHS = RHS

Using property,

 3-2 = a +b

 Hence

 a= 3

 b = -2

b = 

b= -2

  • -3
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