How do you find the absolute value of #-4+i#?

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Answer 1 · 2016-11-15T23:23:14

Please see the explanation for how one computes the magnitude of a complex number.

I think that you mean magnitude.

Given a complex number of the form #a + bi#

#|a + bi|#

means magnitude; not absolute value and it is computed as follows:

#|a + bi| = sqrt(a^2 + b^2)#

#:.#

#|-4 + i| = sqrt((-4)^2 + 1^2)#

#|-4 + i| = sqrt(17)#