Question

State whether the following statements are true or false: Every point on the number line is of the form $\sqrt{m}$ where $m$ is a natural number. Give reasons for your answers.

• A. True
• B. False

Answer 1

The correct option is B False

Understand that natural numbers are the positive integers that are used for counting and ordering.

Assume that a natural number is given as $25$ , so according to the question

$\sqrt{25}=5$

The above is a valid point on the number line.

Similarly, assume that a natural number is given as $7$, so according to the question

$\sqrt{7}=2.6457$

The above is not a valid point on the number line.

Hence,every point on the number line is of the form $\sqrt{m}$ where $m$ is a natural number is a false statement.