Question

Find the absolute value of the complex number 4 + 4i.

a.
5
c.
56
b.
8i
d.
5.66


Please select the best answer from the choices provided

Answer 1

4+4i
(4)^2+(4)^2=32
sqrt(32)=5.66
So your answer would be D

Answer 2

The absolute value of a complex number is called the modulus. This represents the DISTANCE to the origin from the point on the imaginary + real plane.

the real horizontal distance is 4 and the imaginary vertical distance is also 4. So to figure out this just use the Pythagorean theorem.

4^2 + (4)^2 = c^2

16+16 = c^2

c^2 = 32
c = 4sqrt2 = 5.66 or option D.