OpenStax-CNX module: m49408
3
Figure 2
z = x + yi,
z
a general note label:
Given
a complex number, the absolute value of
is dened
as
2
2
z =
x
+ y
(1)
(x, y) .
It is the distance from the origin to the point
Notice that the absolute value of a real number gives the distance of the number from 0, while the
(0, 0) .
absolute value of a complex number gives the distance of the number from the origin,
Example 2
Finding the Absolute Value of a Complex Number with a Radical
z =
5
i.
Find the absolute value of