Suppose z is a complex number.(a) Prove that zz =

Chapter 6, Problem 42

(choose chapter or problem)

Suppose z is a complex number.(a) Prove that zz = |z|2.(b) If w is also complex, use (a) to show that wz = wz|z|2 forz = 0.(c) Use part (b) to simplify 2 + i4 3ito the form a + ib, where aand b are real.

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