Exercise 1.2

State whether the following statements are true or false. Justify your answers. Every irrational number is a real number.

State whether the following statements are true or false. Justify your answer. Every point on the number line is of the form √m , where m is a natural number.

State whether the following statements are true or false. Justify your answer. Every real number is an irrational number.

Are the square roots of all positive integers irrational? If not, give an example of the square root of a number that is a rational number.

Show that √5 can be represented on the number line.