Question

1. If (2-√3)/ (2+ √3) =a+b√3 then the value of a and b are​

Answer 1

An2+  

3

​

 

​

×  

2+  

3

​

 

2+  

3

​

 

​

=  

(2)  

2

−(  

3

​

)  

2

 

(2+  

3

​

)  

2

 

​

=  

4−3

7+4  

3

​

 

​

=7+4  

3

​

=A+B  

3

​

 

⇒A=7,B=4.swer:

Step-by-step explanation:

this is

Answer 2

Answer:

$\implies \: \frac{2 - \sqrt{3} }{2 + \sqrt{3} } \times \frac{2 - \sqrt{3} }{2 - \sqrt{3} } \\ \\ \frac{(2 - \sqrt{3 ) ^{2} } }{(2 {) }^{2} - ( \sqrt{3 {)}^{2} } } \\ \\ \frac{(2 {) + ( \sqrt{3) } }^{2} - 2 \times 2 \sqrt{3} }{4 - 3} \\ \\ \frac{4 + 3 - 4 \sqrt{3} }{1} \\ \\ 7 - 4 \sqrt{3} = a - b \sqrt{3} \\ \\ \boxed { \bold a = 7} \: \: \boxed { \bold b = 4}$

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