Assuming the truth of the theorem that stales that is irrational whenever n is a positive integer that is not a perfect square, prove that is irrational.

Solution:Step 1In this problem we have to prove that is irrational assuming the truth of the theorem that states that is irrational whenever n is positive integer and is not a perfect square.We will prove this problem by method of contradiction.Any number which can be written in the form of where are integer and .