Question

Which of the following best describes an irrational number?

A- A number that is a terminating decimal.
B- A number that can be expressed as a fraction, , where p and q are integers.
C- A negative number
D- A number that cannot be expressed as a fraction, , where p and q are integers.

Answer 1

Option D is correct.

D- A number that cannot be expressed as a fraction, , where p and q are integers

Explanation:

Irrational number:

An irrational number can not be expressed as a fraction or ratio of integers, like
`(p)/(q)` where p and q are integers

And also it can not be expressed as terminating decimal or repeating decimal

Example of the irrational number is given below.

`√(8)= 2.82842`

`\pi = 3.14285..`

`√(3)= 2.82842`

Therefore option D (A number that cannot be expressed as a fraction, , where p and q are integers) is correct .