Question

15. Which statement explains why 30 is considered an irrational number?

Answer 1

Consider the given number is $\sqrt{30}$ in question as well as in options.

Given:

$\sqrt{30}$ is considered as an irrational number.

To find:

The reason for given statement.

Solution:

We have,

$\sqrt{30}=5.47722557505...$

When evaluated, $\sqrt{30}$ results in a nonterminating (infinite digits after decimal) and nonrepeating decimal, which  is considered an irrational number.

Therefore, the correct option is C.