Final answer:
c) 2√5. The absolute value of the complex number —-4 – 2i is 2√5, which is obtained by using the formula √(a² + b²) and calculating the square root of the sum of the squares of the real and imaginary parts.
Step-by-step explanation:
The correct answer is option c) 2√5. To find the absolute value of a complex number, we use the formula √(a² + b²), where 'a' and 'b' are the real and imaginary parts of the complex number, respectively. In the case of the complex number —-4 – 2i, 'a' is -4 and 'b' is -2. We then square both 'a' and 'b', getting 16 and 4, respectively, and add them to get 20. Taking the square root of 20 gives us the absolute value, which is 2√5.
The correct answer is option c) 2√5.
To find the absolute value of -4 - 2i, we use the formula: |a + bi| = √(a^2 + b^2).
Substituting the values a = -4 and b = -2 into the formula, we get | -4 - 2i| = √((-4)^2 + (-2)^2).
Simplifying, we have | -4 - 2i| = √(16 + 4) = √20 = 2√5