Question

If it is given that is an irrational number then Prove that 17 - 15 is an irrational number.

Answer 1

Step-by-step explanation:

√17 is irrational essentially as a consequence of 17 being prime - that is having no positive factors apart from 1 and itself.

Proving Irrationality of Numbers. ... are irrational numbers using Fundamental Theorem of Arithmetic. In proving irrationality of these numbers, we will use the result that if a prime p divides a2 then it divides 'a' also. We will prove the irrationality of numbers by using the method of contradiction.