Explain, how irrational number differ from rational number.

Define an irrational number. How does it differ from rational numbers.

Give an example of two irrational numbers whose difference is a rational number.

All the rational numbers are irrational also.

Check the validity of the statement given below by the method given against it. The sum of an irrational number and a rational number is irrational.

Which one of the following statement is true? (i) The sum of two irrational numbers is always an irrational number. (ii) The sum of two irrational numbers is always a rational number. (iii) The sum of two irrational numbers may be a rational number or irrational number. (iv) The sum of two irrational numbers is always an integer.

Check whether -sqrt63/sqrt448 is a rational number or an irrational number.

Identify the type of ‘Or’ used in the following statement and check whether the statement is true or false. sqrt 2 is a rational number or an irrational number.

Find three different irrational numbers between the rational numbers 5/7 and 9/11 .