Answer:
An irrational number is a number that cannot be expressed as a fraction for any integers and have decimal expansions that is not terminating.
Step-by-step 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 [tex]\frac{p}{q}[/tex] where [tex]q\neq 0[/tex]
example : [tex]\sqrt{2} , \sqrt{7} , \pi[/tex]
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 [tex] \pi [/tex] starts with 3.141592653........, but no finite number of digits can represent [tex] \pi [/tex] exactly, nor does it repeat.
Similarly,
[tex]\sqrt{2}=1.41421356...[/tex] 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.
