MAT 095 Lecture Notes - Lecture 21: Imaginary Number, Negative Number, Nth Root
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Provide a generalization to each of the terms listed in this section. Radical expressions n a n : index or root a : radicand. Square roots: a square root where a = 2 a is any positive number that have two roots. One of the roots will be positive. One of the roots will be negative. Square roots: the radicand: if the radicand is a positive number, then the following can occur: A: the negative square of a: if the radicand is a negative number, then the following can occur: = p 1 4 4 y y. = 4 4 y y 1. Cube roots: a cube root, which is 3 a, is any positive or negative number that have three roots. A cube root of any possible positive number will always be positive. A cube root of any possible negative number will always be negative. = 3p( 3) ( 3) ( 3) (x3) (x3)
