Question

State whether the following statement is true or false. Justify your answer.

Every point on the number line is of the form `sqrt m`, where m is a natural number.

Options

• True

• False

Answer 1

This statement is False.

Explanation:

Every point on the number line is of the form `sqrtm`, where m is a natural number, because for example there are infinite numbers between `sqrt2` and `sqrt3` which are not of the form `sqrtm`, where m is a natural number.