Answer:
Since both q and r are odd, we can write q=2m−1 and r=2n−1 for some m,n∈N. We know that the left-hand side of this equation is even, while the righthand side of this equation is odd, which is a contradiction. Meaning, there exists no rational number r such that r2=3. So then, the root of 3 is an irrational number.
Explanation: