Negation of an irrational number is an irrational number.

Prove the following by contradiciton ."The sum of a rational and an irrational number is an irrational number?".

Prove the following by contradiction : "The sum of a rational and irrational number is an irrational number ."

The irrational number is

Assertion : 5-sqrt(2)=5-1.414=3.586 is an irrational number . Reason : The difference of a rational number and an irrational number is an irrational number .

Check the validity of the statement given below by contradiction method. 'Sum of a rational number and an irrational number is an irrational number.'

Multiplication of a non-zero rational number with an irrational number is an irrational number.

Prove that the sum of or the difference between, a rational number alpha and an irrational number beta is an irrational number.

Irrational numbers are :

The product of two irrational numbers is an irrational number (True/false).

The sum of two irrational numbers is an irrational number (True/false).