Express the number in polar form 4 - 4i

Polar form of a complex number is r (cos (theta) + i sin (theta))

r is equal to the total distance created by the rectangular coordinates of the complex number

r = Root (4^2 + (-4) ^2) = Root (32) = 4 Root (2)

To find theta, if a > 0, use arctan (b/a), where:

a = the first number

b = the second number

arctan (-4/4) = - 45 degrees (-0.7854 radians)

Your answer is 4 Root (2) (cos (-45) + i sin (-45))