Question

Rationalise the denominator √3-1/√3+1

Answer 1

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(√3 - 1 / √3+1 )* (√3-1/√3-1 )
=( 3-1-√3)/ 2
=( 2-√3) / 2


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Answer 2

√(3) - 1/ √(3) + 1

Multiply this by √(3) - 1/√(3) - 1

[√(3) - 1/ √(3) + 1] × [√(3) - 1/√(3) - 1]

{ √(3) - 1 } ^2 / √(3)^2 - 1^2
using (a + b)(a - b) = a^2 - b^2

3 + 1 - 2√(3) / 3 - 1
using (a - b)^2 = a^2 + b^2 - 2ab

4 - 2√(3) / 2

2 ( 2 - √(3) ) / 2

Ans. 2 - √(3)