Find the absolute value of the complex number 4 + 4i. a. 5 c. 56 b. 8i d. 5.66 select the best answer from the choices provided

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.