question_answer

  Prove that  is irrational.                 OR Prove that   is irrational.

Answer:

  Let if possible  be a rational number  where p and q are co-prime integers and  irrational number = rational number, which is not possible Hence our supposition is wrong.  is an irrational number OR Let if possible  be a rational number   rational number - rational number = rational number  irrational number = rational number which is not possible. Hence our supposition is Wrong. is an irrational number.