Radical Rules
Root Rules
nth Root Rules
Algebra rules for nth roots are listed below. Radicalexpressions 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 | Examples |
2. If n is odd then . | |
3. If n is even then . | |
4. If a ≥ 0 then .
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Distributing (a ≥ 0 and b ≥ 0) 1. 2. (b ≠ 0) | Examples |
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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 |
See also
nth root, square root rules, distributing rules, absolute value rules, factoring rules
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