Question

State whether the following statement is True or False? Justify your answer.
$=\frac{\sqrt{3}}{7}$ is a rational number.

Answer 1

False.

$\frac{\sqrt{3}}{7}$ is an irrational number

A rational number is one which can be expressed as a fraction where both the numerator & the denominator are whole numbers.

For example:

$1.5$ which can be expressed as $\frac{3}{2}$

Evidently $\sqrt{3}$ is an irrational number, because it cannot be expressed as a fraction with a whole number numerator & denominator.

Hence $\frac{\sqrt{3}}{7}$ is also irrational.