Question

Prove that √5 is an irrational number.​

Answer 1

Answer:

Assuming if p was a prime number and p divides a2, then p divides a, where a is any positive integer. Hence, 5 is a factor of p2. This implies that 5 is a factor of p. (2) indicates that 5 is a factor of p and (3) indicates that 5 is a factor of q.