Question

Question- Prove that √2 is not a rational number

Answer 1

take
$\sqrt{2}$
on the place of
$\sqrt{ 3}$



is irrational no.

Answer 2

let's assume ✓2 is a rational number.Hence it can be written in the form of p/q where p and q are coprime and q is not equal to zero.
>✓2=p/q
p^2/q^2= 2
p and q have a common factor then only it is possible .
But , it contradicts the definition of coprime
hence ✓2 is an irrational