Question

Find the amplitude of $1+i\sqrt{3}$.

Answer 1

$z=1+\sqrt{3}i$

Amplitude, $\left|z\right|=|1+\sqrt{3}i|$

$=\sqrt{1^2+(\sqrt{3}{)}^2}$

$=\sqrt{1+3}$

$=\sqrt{4}=2$