(i) Every irrational number is a real number. (ii) Every point on the number line is of the form . √m where’m’ is a natural number.

Question

State whether the following statements are true or false. Justify your answers. 

(i) Every irrational number is a real number. 

(ii) Every point on the number line is of the form . √m where’m’ is a natural number. 

(iii) Every real number is an irrational number. 

Answer 1

(i)  True. Because set of real numbers contain both rational and irrational number. 

(ii) False. Value of √m is not netagive number. 

(iii) False. Because set of real numbers contain both rational and irrational numbers. But 2 is a rational number but not irrational number.