Evaluate this complex number absolute value

|5 + 3i|

Define the complex absolute value:

On the number line
Distance from 0 to that number. |a + bi| = √a2 + b2

Given a = 5 and b = 3, we have:

|5 + 3i| = √a2 + b2

|5 + 3i| = √52 + 32

|5 + 3i| = √25 + 9

|5 + 3i| = √34

Final Answer


|5 + 3i| = 5.8309518948453

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