Pleasantly, when we multiply a complex number z = a + bi by its complex conjugate z, we get a real number which might be called the quadrance or modulus squared of z, namely zz = Q (2) = a² + b2 = \z|². So to simplify a quotient like 1+4i 5-3i' we multiply both numerator and denominator by the complex conjugate of the bottom, namely 5 – 3 i = 5+3*1 Note: enter the complex number a + ib use the Maple syntax a+b*I. This then gives us 1+4i 5-3 i (1+4i)(5–3 i) -734 +i| 2334 (5–3 i)(5–3 i)

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A: Thanks for the question :)And your upvote will be really appreciable ;)

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