MAT 095 Study Guide - Quiz Guide: Cube Root, Negative Number, Nth Root
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Provide a generalization to each of the terms listed in this section. Rational 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. 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. n th roots: the nth root of any possible number, which can be labeled a, is a number whose nth power would be a. De nition of a m n a m n = n am = (cid:0) n a(cid:1)m. Simplifying rational expressions: there would be actual factors of that are for: No perfect square roots under a square root.