Question

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

A.

When evaluated, 730 results in a repeating decimal, which is considered an

irrational number.

When evaluated, 30 results in a terminating decimal, which is considered an

irrational number.

B.

C.

When evaluated, V30 results in a nonterminating and nonrepeating decimal, which

is considered an irrational number.

D.

When evaluated, 30 results in a whole number, which is considered an irrational

number.

Answer 1

Consider the given number is
`√(30)` in question as well as in options.

Given:

`√(30)` is considered as an irrational number.

To find:

The reason for given statement.

Solution:

We have,

`√(30)=5.47722557505...`

When evaluated,
`√(30)` results in a nonterminating (infinite digits after decimal) and nonrepeating decimal, which is considered an irrational number.

Therefore, the correct option is C.