Consider the given number is [tex]\sqrt{30}[/tex] in question as well as in options.
Given:
[tex]\sqrt{30}[/tex] is considered as an irrational number.
To find:
The reason for given statement.
Solution:
We have,
[tex]\sqrt{30}=5.47722557505...[/tex]
When evaluated, [tex]\sqrt{30}[/tex] results in a nonterminating (infinite digits after decimal) and nonrepeating decimal, which is considered an irrational number.
Therefore, the correct option is C.