Question

then
ional.
prove that it is
Irrational
(ii) 6+ 2
al, where p, q are prime​

Answer 1

Answer:

Step-by-step explanation:

Let us assume 6+  

2

​  

 is rational. Then it can be expressed in the form  

q

p

​  

, where p and q are co-prime

Then, 6+  

2

​  

=  

q

p

​  

 

2

​  

=  

q

p

​  

−6

2

​  

=  

q

p−6q

​  

 -----(p,q,−6 are integers)

q

p−6q

​  

 is rational

But,  

2

​  

 is irrational.

This contradiction is due to our incorrect assumption that 6+  

2

​  

 is rational

Hence, 6+  

2

​  

 is irrational