# Write without absolute value notation: abs(6-5i)

Write without absolute value notation: $|6-5i|$
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Step 1
Absolute value of a complex number:
The absolute value of a complex number z=x+iy is given by $|z|=|x+iy|=\sqrt{{x}^{2}+{y}^{2}}$.
The given complex number is 6-5i.
Step 2
Evaluate the value of $|6-5i|$ as follows.
$|6-5i|=\sqrt{{6}^{2}+{\left(-5\right)}^{2}}$
$=\sqrt{36+25}$
$=\sqrt{61}$
$\approx 7.81$
Therefore, the absolute value of $|6-5i|$ is 7.81.
Jeffrey Jordon