Question

show that √23 is an irrational number ​

Answer 1

Answer:

First we assume √23 to be rational and express it in m/n form. Later on in the proof, we create a contradiction that 23 divides both m and n. But as we had said that their HCF is 1 , our assumption that √23 is rational must be false. So, √23 is irrational.