Complex Modulus/Examples/-4+2i
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Example of Complex Modulus
- $\cmod {-4 + 2 i} = 2 \sqrt 5$
Proof
| \(\ds \cmod {-4 + 2 i}\) | \(=\) | \(\ds \sqrt {\paren {-4}^2 + 2^2}\) | Definition of Complex Modulus | |||||||||||
| \(\ds \) | \(=\) | \(\ds \sqrt {20}\) | ||||||||||||
| \(\ds \) | \(=\) | \(\ds 2 \sqrt 5\) |
$\blacksquare$
Sources
- 1981: Murray R. Spiegel: Theory and Problems of Complex Variables (SI ed.) ... (previous) ... (next): $1$: Complex Numbers: Absolute Value