Question

What is the absolute value of the complex number -4 - sqrt2i?

A) sqrt14
B) 3sqrt2
C) 14
D)18

Answer 1

Try this:
if a complex number is z=x+iy, where x=-4 and iy=-i√2, then:

`|z|= √(x^2+(iy)^2)= √(16-2)= √(14)`