Show that 3 is irrational (see problem 77). In problem Show that 2 is irrational. Try a

Question:

Show that √3 is irrational (see problem 77).
In problem
Show that √2 is irrational. Try a proof by contradiction. Suppose that √2 = p/q, where p and q are natural numbers (necessarily different from 1). Then 2 = p2/q2, and so 2q2 = p2. Now use problem 76 to get a contradiction.