MAC 1105- Midterm Exam Guide - Comprehensive Notes for the exam ( 23 pages long!)
13 Oct 2017
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Complex numbers chapter 1 section 4 i is a complex number which represents (cid:883) an exponent of 2 is always even), we represent this with (cid:883) . If we multiple together (cid:883) (cid:883) we simply get -1. Since we cannot take the square root of a negative number (because any number taken to. Example 2: (7 3i) (-2 5i) 15i2 -29i - 14: to rationalize the denominator, we will multiply both top and bottom by the original denominator but with the opposit sign, use the foil technique to multiple out the numerators and the denominators. (cid:889)+(cid:886) (cid:884) (cid:887) Since there is an i, we must rationalize the denominator: start with the initial. After this, we will simplify both the numerator and denominator. Here, we have 2 numbers in an expression that are negative and under the radical. changed the. In this step, we have pulled out the -1 and placed it under it"s own square root.
