Chapter 6.8, Problem 3E

To determine

The value of $\left|z\right|$ for $z=2i$ .

Answer to Problem 3E

The value of $\left|z\right|$ is equal to $2$ .

Explanation of Solution

Given information: It given that,

  $z=2i\mathrm{......}\left(1\right)$

Formula used: For a number of the form $z=x+iy$ ,

  $\left|z\right|=\sqrt{x^2+y^2}\mathrm{......}\left(2\right)$

Calculation: From (1)

  $\begin{array}{c}\left|z\right|=\sqrt{{\left(0\right)}^2+{\left(2\right)}^2}\mathrm{....}\left(\text{Used }\left(2\right)\right)\\ =\sqrt{0+4}\\ =\sqrt{4}\\ =2\end{array}$