Question

Simplify. 1. (√5+√3) (√5-√3)​

Answer 1

Answer:

3

​  

+  

5

​  

 

1

​  

=  

3

​  

+  

5

​  

 

1

​  

×  

3

​  

−  

5

​  

 

3

​  

−  

5

​  

 

​  

 

=  

(  

3

​  

)  

2

−(  

5

​  

)  

2

 

3

​  

−  

5

​  

 

​  

=  

3−5

3

​  

−  

5

​  

 

​  

 

=  

−2

3

​  

−  

5

​  

 

​  

=  

2

5

​  

−  

3

​  

 

​  

 

Answer 2

Answer:

2 is your correct answer.

Step-by-step explanation:

$\tt \fbox \green{Formula}$

(a+b) ( a - b) = a^2 - b^2

$\tt \fbox \green{Solution}$

$\tt \bold(√5+√3) (√5-√3) = { (\sqrt{5} )}^{2} - { (\sqrt{3}) }^{2} \\ \\ \tt \bold \to5 - 3 = 2$