MAT 095 Lecture Notes - Lecture 24: Nth Root
Document Summary
6. 4 multiplication and division of radical expressions notes. Provide a generalization to each of the terms listed in this section. Radical expressions n a n : index or root a : radicand. Simplifying radical expressions: there would be actual factors of that are for: No perfect square roots under a square root. No perfect cubic roots under a cubic root. No perfect roots under any root: it is impossible to use fractions under a radical symbol, it is impossible to keep a radical in the denominator. It that is the case, then you would have to rationalize the denominator. Multiplying radicals rule n ab = n a n b. = 15 + 6 5 nr a b n a n b. 7(cid:0)5 7 2(cid:1) (cid:0)5 7 + 2(cid:1)(cid:0)5 7 2(cid:1) + 5 7 ( 2) + 2(cid:0)5 7(cid:1) + 2 ( 2) 25 (7) + ( 10 + 10) 7 4.
