Question

What is the absolute value of the complex number -4 - square root of 2i

A) square root of 14
B) 3 square root of 2
C) 14
D) 18

Answer 1

A) square root of 14

Answer 2

The absolute value of the complex number
`z=a+bi` is
`|z|=√(a^2+b^2).`

Consider the complex number
`z=-4-√(2)i.` For this complex number
`a=-4` and
`b=-√(2).`

Therefore, the absolute value of this complex number is

`|z|=\sqrt{(-4)^2+(-√(2))^2}=√(16+2)=√(18)=3√(2).`

Answer: correct choice is B