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

Explanation:

(i) True: Every irrational number is a real number because real numbers are the union of both rational & irrational numbers.

(ii) False: Numbers on the number line can be either positive or negative. Since, square root of a number can never be negative thus, every point on the number line cannot be of the form √m

(iii) False: Every irrational number is a real number but every real number cannot be an irrational number because real numbers are the union of both rational & irrational numbers.