SOLUTION: Absolute value of -1+3i

Question 423401: Absolute value of -1+3i

Answer by jsmallt9(3758) (Show Source): You can put this solution on YOUR website!
In general the absolute value of something is it distance from zero. In the case of a complex number, a+bi, its absolute value is its distance from the zero complex number, 0+0i.

If you have learned how to plot complex numbers on a coordinate system you can plot the two points and see that the distance between a+bi and 0+0i can be found with the distance formula, . So

which simplifies to:

Some people just memorize this formula. Others figure it out from the distance formula.

Now that we have a formula for absolute value of a complex number we can use it on your complex number:

which simplifies as follows:

Since does not simplify further we are finished.
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