How do you find the absolute value of 3+4i?

1 Answer
Douglas K.
Oct 31, 2016

#|a + bi|# is not read as the absolute value of #a + bi#; it is read as the magnitude of #a + bi#:

#|3 + 4i| = sqrt(3^2 + 4^2)# = 5

Explanation:

The |a + bi| is not read as the absolute value of a + bi; it is read as the magnitude of a + bi. The magnitude is calculated, using the equation:

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

#|3 + 4i| = sqrt(3^2 + 4^2)# = 5

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