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Laws of Radicals
8
Flashcards
0/8
Rationalizing the Denominator
To get rid of radicals in the denominator, multiply numerator and denominator by a radical that will give the denominator a perfect square under the radical
Roots of Fractional Exponents
, where is a nonnegative real number
Product Property of Radicals
, where and are nonnegative
Simplifying Radicals with Perfect Powers
If for some integer , then provided that and are nonnegative
Quotient Property of Radicals
, where and
Laws of Exponents for Radicals
When radicals have the same index, laws of exponents like apply to their radicands
Simplifying Nested Radicals
, where is a nonnegative real number
Power Property of Radicals
, where is a nonnegative real number
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