Question

If z=sqrt(2) +i, find amplitude of z.

Answer 1

$\bf \large \: Hola!$

• GiveN :

$\mapsto \sf \: z = \sqrt{2} + i$

• To FinD :

$\sf \mapsto \: amplitude \: = {?}$

• SolutioN :

$\sf \: z = \sqrt{2} + i$

$\implies \sf \: |z| = | \sqrt{2} + i \: |$

$\implies \sf \: |z| = \sqrt{ { \sqrt{2} }^{2} + {1}^{2} }$

$\implies \sf \: |z| = \sqrt{3}$

$\tt \mapsto \: Graph \: \: is \: \: attached \: \: in \: \: Photo$

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HOPE THIS IS HELPFUL...