Perform Operations with Square Roots of Negative Numbers
Perform the indicated operations and write the result in standard form.
-$$\frac { - 4 - \sqrt { - 28 } } { 2 }$$
A) $- 2 - i \sqrt { 7 }$
B) $- 2 + i \sqrt { 7 }$
C) $2 + i \sqrt { 7 }$
D) $- 2 - \mathrm { i } \sqrt { 2 }$

Question

Quizplus · Accepted Answer

First, simplify the expression inside the square root: $\sqrt{-28} = \sqrt{28}i = \sqrt{4 \cdot 7}i = 2\sqrt{7}i$. Then, divide each term by 2: $\frac{-4}{2} - \frac{2\sqrt{7}i}{2} = -2 - \sqrt{7}i$.

Perform Operations with Square Roots of Negative Numbers Perform the Indicated

Perform Operations with Square Roots of Negative Numbers
Perform the Indicated