Question

What is an Irrational Number?

Answer 1

Irrational Number : The numbers which cannot be written in the form of $p / q$ are known as irrational numbers (where $p$ and $q$ are integers and $q \neq 0$ ) Example $: \sqrt{3}=1.732 \ldots, \sqrt{2}=1.414 \ldots$

But recurring decimals like $8 / 3=2.666$ or $2 . \overline{6}$ can be written in the $p / q$ form so they are rational numbers.

Note : An irrational number is a non-terminating and non-repeating decimal.

$\pi$ is an irrational number while $\frac{22}{7}$ is a rational number.