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.
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Definitions
1. if both b ≥ 0 and bn = a.
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Examples
because 23 = 8.
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2. If n is odd then .
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3. If n is even then .
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4. If a ≥ 0 then .
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and 
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Distributing (a ≥ 0 and b ≥ 0)
1. 
2. (b ≠ 0)
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Examples


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3. ( multiplied by itself n times equals a)
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4. (m ≥ 0)
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Rationalizing the Denominator
(a > 0, b > 0, c > 0) |
Examples |

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Example

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Careful!!
1. 
2. 
3.  |
Examples



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See also
nth root, square
root rules, distributing
rules, absolute value rules,
factoring rules
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