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:
$|z|= \sqrt{x^2+(iy)^2}= \sqrt{16-2}= \sqrt{14}$