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

Determine the absolute value of the complex number $2-3i$.
You can still ask an expert for help

• Questions are typically answered in as fast as 30 minutes

Solve your problem for the price of one coffee

• Math expert for every subject
• Pay only if we can solve it

faldduE
Step 1
Absolute value of complex number $z=a+ib$ is represent by $|z|$ and given as
$|z|=\sqrt{{\left(a\right)}^{2}+{\left(b\right)}^{2}}$
Step 2
Given complex number is
$z=2-3i$
Step 3
$z=2+\left(-3\right)i$
Here
$x=2y=-3$
Now
$|z|=\sqrt{{\left(2\right)}^{2}+{\left(-3\right)}^{2}}$
$=\sqrt{4+9}$
$=\sqrt{13}$
Step 4
Absolute value of complex number $2-3i$ is $\sqrt{13}$.
Jeffrey Jordon