Question

Find the value of a and b if √3 - 1 / √3 + 1 = a + b​

Answer 1

Answer:

Step-by-step explanation:

Given, 3

​+13

​−1​=a+b3

​

On rationalizing, we get

(3

​+1)(3

​−1)(3

​−1)(3

​−1)​=a+b3

​

⇒23+1−23

​​=a+b3

​

⇒2−3

​=a+b3

​

Comparing a=2,b=−1

Answer 2

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

​

 

Comparing a=2,b=−1