Complex Modulus/Examples/1+i

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Example of Complex Modulus

$\left\vert{1 + i}\right\vert = \sqrt 2$


Proof

\(\displaystyle \left\vert{1 + i}\right\vert\) \(=\) \(\displaystyle \left\vert{1 + 1 i}\right\vert\)
\(\displaystyle \) \(=\) \(\displaystyle \sqrt {1^2 + 1^2}\) Definition of Complex Modulus
\(\displaystyle \) \(=\) \(\displaystyle \sqrt 2\)

$\blacksquare$


Sources