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 \(\sqrt{m}\) , where m is a natural number.

iii)Every real number is an irrational number.

i) Every irrational number is a real number.

ii) Every point on the number line is of the form \(\sqrt{m}\) , where m is a natural number.

iii)Every real number is an irrational number.

i) True, since (Real number = Rational number + Irrational number).

ii)False, because no negative number can be the square root of any natural number.

iii)False, as every irrational number is a real number but opposite is not true.