SOLUTION: How do I find the Absolute Value of a complex number? Thank You.

Question 175558This question is from textbook
: How do I find the Absolute Value of a complex number?
Thank You. This question is from textbook

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
The absolute value of any complex number in the form is . Remember, absolute value geometrically is the distance from the origin. So in this case, we're finding the distance is from the point (a,b) to the origin (0,0) (in the complex plane)

Example:

Problem:
Find the absolute value of .

Solution:

In this case, and

Start with the given formula.

Plug in and

Square 3 to get 9. Square -6 to get 36

Add

Simplify the square root (note: If you need help with simplifying square roots, check out this solver)

So the absolute value of is which approximates to
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