Respuesta :
Irrational, because it is non-terminating and non-repeating!
A rational is a number that can be expressed as a fraction of two integers while an irrational number can't. The number 5.787787778... is irrational
Given
[tex]Number = 5.787787778...[/tex]
The three dots after 5.787787778 means that:
- The number is non-ending i.e. non-terminating
- The number is approximated
When a number has the above features, such number cannot be expressed as a fraction of two numbers.
This means that the number is irrational.
Read more about rational and irrational numbers at:
https://brainly.com/question/2563850