Question

prove that 3root 2 is irrational​

Answer 1

Let 3 √2 be rational

Therefore we can find two co-prime integers a, b (b≠0) such that

3 √2=a/b

√2=a/3b

a/3b is rational as a and b are integers .

Therefore, √3 should be rational.

But this contradict the fact that √3 is irrational.Therefore, our assumption is wrong. Hence, 3√2 is irrational