Question

Find the absolute value of the complex number -3 - 6i.

a.
6.07
c.
6.7
b.
6.17
d.
6.71


Please select the best answe

Answer 1

Answer: 6.71


Step-by-step explanation:


1) The absolute value of a complex number a + bi is √ [ (a)² + (b)²]

2) The given number - 3 - 6i is equivalent to (-3) + (-6)i, so you see that a = -3 and b = - 6.

3) Therefore, the absolute value is √ [ (-3)² + (-6)² ] = √ [ 9 + 36] = √(45) ≈ 6.708 ≈ 6.71