Let's combine the radicals given in the expression:
[tex]\[ -\sqrt{5} - 3\sqrt{5} \][/tex]
Step-by-step solution:
1. Identify the common radicals: Both terms have [tex]\(\sqrt{5}\)[/tex] as the radical component.
2. Combine like terms: You can combine these terms by adding or subtracting their coefficients.
[tex]\[ -\sqrt{5} - 3\sqrt{5} \][/tex]
3. Sum the coefficients: Add the coefficients of [tex]\(\sqrt{5}\)[/tex]:
[tex]\[-1 - 3 = -4\][/tex]
4. Combine the coefficients with the common radical:
[tex]\[ -4 \sqrt{5} \][/tex]
So, the expression simplifies to:
[tex]\[ -4 \sqrt{5} \][/tex]
From the given choices, we see that the correct answer is:
B. [tex]\(-4 \sqrt{5}\)[/tex]
