# Roots of real numbers and radical expressions

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### Roots of real numbers and radical expressions

1. 1. 5.5 Roots of Real Numbers and Radical Expressions
2. 2. Definition of nth Root ** For a square root the value of n is 2. For any real numbers a and b and any positive integers n, if an = b, then a is the nth root of b.
3. 3. Definitions A perfect square is the square of a natural number. 1, 4, 9, 16, 25, and 36 are the first six perfect squares. A perfect cube is the cube of a natural number. 1, 8, 27, 64, 125, and 216 are the first six perfect cubes.
4. 4. Notation 81 4 index radical radicand Note: An index of 2 is understood but not written in a square root sign.