$\frac{22}{7}$ is a rational number, but why $\pi$ is an irrational number?


Solution:

$\pi$ has a value of $3.1415.....$ which has a decimal expansion that is both non recurring and non terminating and goes on forever. Therefore, $pi$ is defined as an irrational number.

However, to solve practical calculation and for our satisfaction we take $\pi=\frac{22}{7}\ or\ 3.14$, so that they become rational as these values are represented in the $\frac{p}{q}$. where both $p$ and $q$ are integers and $q≠0$.

Updated on: 10-Oct-2022

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