Question

Prove that ✓(13) is an irrational number.​

Answer 1

Answer:

Consider the polynomial x2−13∈Z[x]. The rational root theorem guarantees its roots aren't rational and since √13 is a root of the polynomial, it is irrational.

Answer 2

Answer:

Consider the polynomial x2−13∈Z[x]. The rational root theorem guarantees its roots aren't rational and since √13 is a root of the polynomial, it is irrational.