Properties

Terms

Radicals (or roots) represent the opposite operation from exponents. The root is a value such that when taken to the nth power (degree) yields the base.

Degree to Exponent

A radical can be expressed as a power with an exponent equal to the reciprocal of the degree.

Degree of Zero

Any radical with a degree of zero is not a real number.

Root of 1

Any root of 1 (other than 0) equals 1.

Radicals Multiplied

Values under equal radicals may be merged when multiplied.

Radicals Multiplied

Values under equal radicals may be merged when divided (are a part of the same fraction).

Negative Degree

A radical with a negative degree is equals to the reciprocal of the same radical with a positive degree.

Negative Root

The even root of a negative value does not yield a real number. Instead, it is considered a member of the complex number set (values containing i).

Common Radicals

Exercises

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