Final answer:
The absolute value of the complex number -1 -√5i is √6.
Step-by-step explanation:
The absolute value of a complex number is the distance from that number to the origin on the complex plane.
To find the absolute value of -1 - √5i, we need to use the formula: |a + bi| = √(a^2 + b^2), where a and b are the real and imaginary parts of the complex number respectively.
In this case, a = -1 and b = -√5.
Substituting these values into the formula, we get: | -1 - √5i| = √((-1)^2 + (-√5)^2).
Simplifying, we have: | -1 - √5i| = √(1 + 5) = √6.
Therefore, the absolute value of the complex number -1 - √5i is √6.