The pair of both decimals that represent rational numbers is in option [tex](a)[/tex].
A rational number is a number which is expressed as the ratio of two integers, where as the denominator should not be equal to zero [tex](\neq 0)[/tex] and are terminating and no-terminating but repeating decimals.
Irrational numbers can not be expressed in the form of fractions and are non-terminating and non-recurring.
We have,
[tex]0.752[/tex] and [tex]0.232323.....[/tex]
In the above given numbers [tex]0.752[/tex] is terminating, so it is a rational number.
And,
[tex]0.232323....[/tex] is non-terminating and repeating number, so it is also a rational number.
So, the pair of option [tex](a)[/tex] i.e. [tex]0.752[/tex] and [tex]0.232323.....[/tex] is the pair of rational number.
Hence, we can say that the pair of both decimals that represent rational numbers is in option [tex](a)[/tex].
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