Rational:

1. Repeating infinite or finite decimals
2. Square roots of perfect squares
3. Integers and fractions a/b
4. Irrational (×,+,÷,-) Irrational may be rational e.g 3^1/2×3^1/2=3
5. Any combination of rational numbers

Irrational:

1. Infinite non-repeating decimals
2. Any combination of rational and irrational numbers
3. Square root of non-perfect squares
4. π, Φ, e