31.3.4 Division: Rationalizing the Denominator, Complex-Style
31.3 The Four Operations on Complex Numbers
Point 4 of 4
31.3.4 Division: Rationalizing the Denominator, Complex-Style
Core idea
Picture this: to clear the i out of the denominator, multiply top and bottom by the conjugate to "wash" the denominator into a real number, then split into real and imaginary parts
Module goal. We build the rules for adding, subtracting, multiplying, and dividing — learning both to grind through them algebraically and to see what addition and subtraction mean geometrically
eastmath.com · 31.3 The Four Operations on Complex Numbers · 31.3.4 Division: Rationalizing the Denominator, Complex-Style