Question

Theorem: There does not exist a rational number r such that r² = 2

Answer 1

Answer:

Answer. By the same reasoning stated above, q^2 is even and so q is even. But that's impossible because then both p & q have 2 as a common factor, which contradicts the assumption of being relatively prime. So, r^2 = 2 means r must be irrational.

Step-by-step explanation:

hope the answer is helpful,have a nice day and take