Question

State which of following real numbers are irrational:
$-8.0,\sqrt{5},\frac{5}{7},-\sqrt{18},\sqrt{32},4.28,\pi ,3,\frac{8}{15},0.075$

Answer 1

Rational numbers can be expressed as $\frac{p}{q}$ form.

$-8.0=\frac{-8}{1}$.........which is rational.

$\frac{5}{7}$....................which is rational.

.$4.28=\frac{428}{100}$....................which is rational.

$3=\frac{3}{1}$.................which is rational.

$\frac{8}{15}$.................which is rational.

$0.075=\frac{75}{1000}$.................which is rational.

$\sqrt{5},-\sqrt{18},\sqrt{32},\pi ,$ are irrational .