Question

An irratinonal number

Answer 1

An irrational number is a number that cannot be expressed as a fraction for any integers and have decimal expansions that is not terminating.

Explanation:

An irrational number is a real number that can not be written as a rational number that is in the form of fraction or in form of
`(p)/(q)` where
`q\\eq 0`

example :
`√(2) , √(7) , \pi`

irrational numbers, when written in a number system do not terminate, nor do they repeat, the repetition of which makes up the tail of the representation.

For example, the decimal representation of the number
`\pi` starts with 3.141592653........, but no finite number of digits can represent
`\pi` exactly, nor does it repeat.

Similarly,

`√(2)=1.41421356...` which is not finite number of digits

Thus, an irrational number is a number that cannot be expressed as a fraction for any integers and have decimal expansions that is not terminating.