nth root rules

Radical Rules
Root Rules
nth Root Rules

Algebra rules for nth roots are listed below. Radical expressions can be rewritten using exponents, so the rules below are a subset of the exponent rules.

For all of the following, n is an integer and n ≥ 2.
Definitions 1. if both b ≥ 0 and bⁿ = a.	Examples because 2³ = 8.
2. If n is odd then .
3. If n is even then .
4. If a ≥ 0 then .	and
Distributing (a ≥ 0 and b ≥ 0) 1. 2. (b ≠ 0)	Examples
3. ( multiplied by itself n times equals a)
4. (m ≥ 0)
Rationalizing the Denominator (a > 0, b > 0, c > 0)	Examples


Example
Careful!! 1. 2. 3.	Examples