Complex Modulus/Examples/4+3i
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Example of Complex Modulus
- $\cmod {4 + 3 i} = 5$
Proof
| \(\ds \cmod {4 + 3 i}\) | \(=\) | \(\ds \sqrt {4^2 + 3^2}\) | Definition of Complex Modulus | |||||||||||
| \(\ds \) | \(=\) | \(\ds \sqrt {25}\) | ||||||||||||
| \(\ds \) | \(=\) | \(\ds 5\) |
$\blacksquare$
Sources
- 1960: Walter Ledermann: Complex Numbers ... (previous) ... (next): $\S 1$. Algebraic Theory of Complex Numbers: Exercise $4 \ \text{(i)}$