What is the absolute value of the complex number -4-√2i?
√14, 3√2, 14, 18

Solution:

Given complex number is -4 - √2i

The absolute value of a complex number is the distance between the origin and the given point on a complex plane and it can be calculated as follows:

|a + ib| = √(a² + b²)

Here, a = -4 and b = -√2

|-4 - √2i| = √((-4)² + (-√2)²)

|-4 - √2i| = √(16 + 2)

|-4 - √2i| = √18.

What is the absolute value of the complex number -4 - √2i?

Summary:

The absolute value of the complex number -4 - √2i is √18.