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

Step 1
Absolute value of a complex number:
The absolute value of a complex number z=x+iy is given by ${\displaystyle \left|z\right|=\left|x+iy\right|=\sqrt{x^2+y^2}}$.
The given complex number is 6-5i.
Step 2
Evaluate the value of ${\displaystyle \left|6-5i\right|}$ as follows.
${\displaystyle \left|6-5i\right|=\sqrt{6^2+{(-5)}^2}}$
${\displaystyle =\sqrt{36+25}}$
${\displaystyle =\sqrt{61}}$
${\displaystyle \approx 7.81}$
Therefore, the absolute value of ${\displaystyle \left|6-5i\right|}$ is 7.81.