`-8 + 3i` Plot the complex number and find its absolute value.

The absolute value of a complex number `z = a + b*i` is `|z| = sqrt(a^2 + b^2)` . According to this formula, you need to determine a and b, such that:

`a = -8, b = 3`

`|z| = sqrt((-8)^2 + 3^2)`

`|z| = sqrt(64 + 9)`

`|z| = sqrt 73`

Hence, the distance of the complex number `z = -8 + 3i` from the origin is given by its absolute value `|z| = sqrt 73` .

In the Argand diagram, the complex number `z = -8 + 3i` is the point (-8,3) or the vector from the origin to the point (-8,3).