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Absolute Value of a Complex Number

How to calculate a complex number's absolute value

The absolute value of a real number is its distance from 0 on the number line. A complex number's absolute value is also a measure of its distance from zero. However, instead of measuring this distance on the number line, a complex number's absolute value is measured from zero on the complex number plane.
In general Absolute Value Formula
 Illustrated Example  
Absolute Value of Complex Number


To find the absolute value of the complex number, 3 + 4i, we find the distance from zero to that number on the plane.
Practice Problems

Calculate |5+ 12i|  
Answer
Practice Problem 1


Problem 1) What is $$| 6 + 8i |$$ ?

Loading absolute value problem




Problem 2) calculate the value of $$ |3 + 2i|$$
Answer


Problem 3) Calculate the value of $$ |3 - 2i| $$
Answer


Problem 4) calculate the value of $$ | -5i - 3|$$
Answer


Problem 5) What is $$ | -x - ci|$$
Answer