How do you simplify abs(8 - 6i )?

1 Answer
Oct 10, 2016

abs(8-6i)=color(green)(10)

Explanation:

The absolute value of a complex number is the distance of the point represented by that complex number (in the Complex plane) from the origin.
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Using the Pythagorean Theorem:
color(white)("XXX")abs(8-6i)=sqrt(8^2+(-6)^2)=sqrt(64+36) = sqrt(100 = 10