MAT 095 Lecture Notes - Lecture 26: Nth Root, Negative Number
Document Summary
Provide a generalization to each of the terms listed in this section. Radical expressions n a n : index or root a : radicand. Tips for solving complex numbers: the square root of a negative number is imaginary. The imaginary is not a real number. The number, i, is the imaginary unit since the following: Adding complex numbers formula (a + bi) + (c + di) = (a + c) + (b + d) i. Adding complex numbers example ( 14 7i) + (10 + 19i) = 14 + 10 7i + 19i. = ( 14 + 10) + ( 7 + 19) i. Subtracting complex numbers formula (a bi) + (c di) = (a c) + (b d) i. Subtracting complex numbers example ( 4 + 7i) (11 19i) = 4 + 7i 11 + 19i. = ( 4 11) + (7 + 19) i.