Question

rationalise √3-1/√3+1 step by step​

Answer 1

Step-by-step explanation:

Answer

Correct option is

A

a=2,b=−1

Given,

3

+1

3

−1

=a+b

3

On rationalizing, we get

(

3

+1)(

3

−1)

(

3

−1)(

3

−1)

=a+b

3

⇒

2

3+1−2

3

=a+b

3

⇒2−

3

=a+b

3

Answer 2

⠀⠀⠀⠀⠀⠀⠀⠀⠀$\frac{ \sqrt{3} - 1}{ \sqrt{3} + 1} \\ \\ \frac{ \sqrt{3} - 1}{ \sqrt{3} + 1} \times \frac{ \sqrt{3} - 1}{ \sqrt{3} - 1} \\ \\ \frac{ ({\sqrt{3} - 1)}^{2}}{{ \sqrt{3}}^{2} - { 1}^{2}} \\ \\ \frac{3 + 1 - 2 \sqrt{3} }{3 - 1} \\ \\ \frac{ \cancel2(2 - \sqrt{3} )}{ \cancel2} \\ \\ 2 - \sqrt{3}$