State whether the following statements are true or false. Justify your answers.
(i) Every irrational number is a real number.
ANS: True, since the collection of real numbers is made up of rational and irrational numbers.
(ii) Every point on the number line is of the form√m, where m is a natural number.
ANS: False, since positive number cannot be expressed as square roots.
(iii) Every real number is an irrational number.
ANS: False, as real numbers include both rational and irrational numbers. Therefore, every real number cannot be an irrational number.
