You should remember that the absolute value of the complex number z is the magnitude of the vector whose coordinates are such that:

**Hence, evaluating the absolute value of the given complex number yields **

z= 3-4i

The module of z is lzl

We know that:

lzl = sqrt(a^2 + b^2)

= sqrt(9 + 16) = sqrt25

= 5

Then the module of z is:

**lzl = 5**