Irrational number
A real number that is not rational is called irrational; for instance , and .
Definition 5.12 (Irrational Number)
A real number that is not rational is called irrational.
Examples
Example 5.13
are all irrational numbers.
We can also construct irrationals from linear combinations of rationals and irrationals, such as . Indeed, if with , then , contradicting the fact that is irrational.
Related
Stated in
- Definition 5.12 (Irrational Number)§5.1 Construction of
- Example 5.13§5.1 Construction of