# Category:Examples of Field Extensions

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This category contains examples of Field Extension.

Let $F$ be a field.

A **field extension over $F$** is a field $E$ where $F \subseteq E$.

That is, such that $F$ is a subfield of $E$.

## Pages in category "Examples of Field Extensions"

The following 8 pages are in this category, out of 8 total.

### F

### S

- Smallest Field containing Subfield and Complex Number/Examples
- Smallest Field containing Subfield and Complex Number/Examples/Complex Numbers
- Smallest Field containing Subfield and Complex Number/Examples/Field Containing Rationals, Root 2 and Root 3
- Smallest Field containing Subfield and Complex Number/Examples/Numbers of Type Rational a plus b cube root 2
- Smallest Field containing Subfield and Complex Number/Examples/Numbers of Type Rational a plus b root 2