How do you find the absolute value of the complex number #-4+i#?
1 Answer
Take the square root of the sum of the real part squared plus the imaginary part squared.
Explanation:
For real numbers, we find the distance of the number from 0 on the x-axis.
In this case, we have a complex number with a real part and an imaginary part. On a coordinate plane, we would use the y-axis as the imaginary axis '
Next, find the distance of that point from zero. To do that, we'd use the Pythagorean Theorem. Imagine the x-axis (from
So, solving for
Therefore,