Complex Modulus/Examples/4+3i

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Example of Complex Modulus

$\cmod {4 + 3 i} = 5$


Proof

\(\displaystyle \cmod {4 + 3 i}\) \(=\) \(\displaystyle \sqrt {4^2 + 3^2}\) Definition of Complex Modulus
\(\displaystyle \) \(=\) \(\displaystyle \sqrt {25}\)
\(\displaystyle \) \(=\) \(\displaystyle 5\)

$\blacksquare$


Sources