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

1.	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» (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.

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»

(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.