Compute Re if z₁ = 5√√2 + 2√3i, and z2 = 3√√√2-5√3i 2

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.4: Fractional Expressions
Problem 64E
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Compute \( \text{Re} \left( \frac{\overline{z_1}}{z_2} \right) \) if \( z_1 = 5\sqrt{2} + 2\sqrt{3}i \) and \( z_2 = 3\sqrt{2} - 5\sqrt{3}i \).

Where:
- \(\text{Re}(z)\) denotes the real part of the complex number \(z\).
- \(\overline{z_1}\) is the complex conjugate of \(z_1\).
Transcribed Image Text:Compute \( \text{Re} \left( \frac{\overline{z_1}}{z_2} \right) \) if \( z_1 = 5\sqrt{2} + 2\sqrt{3}i \) and \( z_2 = 3\sqrt{2} - 5\sqrt{3}i \). Where: - \(\text{Re}(z)\) denotes the real part of the complex number \(z\). - \(\overline{z_1}\) is the complex conjugate of \(z_1\).
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