The absolute value of a complex number z=2−3i is,

\(\displaystyle{\left|{{z}}\right|}={\left|{{2}-{3}{i}}\right|}\)

\(\displaystyle=\sqrt{{{\left({2}\right)}^{{2}}+{\left(-{3}\right)}^{{2}}}}\)

\(\displaystyle=\sqrt{{{4}+{9}}}\)

\(\displaystyle=\sqrt{{{13}}}\)

\(\displaystyle{\left|{{z}}\right|}={\left|{{2}-{3}{i}}\right|}\)

\(\displaystyle=\sqrt{{{\left({2}\right)}^{{2}}+{\left(-{3}\right)}^{{2}}}}\)

\(\displaystyle=\sqrt{{{4}+{9}}}\)

\(\displaystyle=\sqrt{{{13}}}\)