Examine whether the following numbers are rational or irrational:
$2.346464646 . . .$

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Solution

Examining whether the given number is rational or irrational
A number whose decimal expansion is either terminating or non-terminating and recurring is rational.
$2.346464646 . . .$ is a non-terminating recurring decimal as digits 46 after the decimal are repeating infinitely.
So, $2.346464646 . . .$ is a rational number.

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