$\sqrt{2}$
Terms
| Term | This example | Why |
|---|---|---|
| irrational number | ✓ | $\sqrt{2}$ is irrational, because it is not a ratio of integers. |
| algebraic number | ✓ | $\sqrt{2}$ is an algebraic number, because it solves $x^2 = 2$, or equivalently, it is a root of $x^2 - 2$. |
| real number | ✓ | |
| integer | ✗ | |
| rational number | ✗ | |
| transcendental number | ✗ |