Question

# Determine the absolute value of the complex number z=2-3i

Piecewise-Defined Functions
Determine the absolute value of the complex number z=2-3i

$$\displaystyle{\left|{{z}}\right|}={\left|{{2}-{3}{i}}\right|}$$
$$\displaystyle=\sqrt{{{\left({2}\right)}^{{2}}+{\left(-{3}\right)}^{{2}}}}$$
$$\displaystyle=\sqrt{{{4}+{9}}}$$
$$\displaystyle=\sqrt{{{13}}}$$