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

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

Question
Piecewise-Defined Functions
asked 2020-12-29
Determine the absolute value of the complex number z=2-3i

Answers (1)

2020-12-30
The absolute value of a complex number z=2−3i is,
\(\displaystyle{\left|{{z}}\right|}={\left|{{2}-{3}{i}}\right|}\)
\(\displaystyle=\sqrt{{{\left({2}\right)}^{{2}}+{\left(-{3}\right)}^{{2}}}}\)
\(\displaystyle=\sqrt{{{4}+{9}}}\)
\(\displaystyle=\sqrt{{{13}}}\)
0

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