Perform the indicated operations and write the result in standard form.
-$$\sqrt { - 16 } + \sqrt { - 64 }$$
A) $- 12 \mathrm { i }$
B) $- 12$
C) $12 \mathrm { i }$
D) $32 i$

Question

Quizplus · Accepted Answer

The square root of a negative number involves the imaginary unit $i$, where $i = \sqrt{-1}$. Thus, $\sqrt{-16} = 4i$ and $\sqrt{-64} = 8i$. Adding these gives $4i + 8i = 12i$.

Perform the Indicated Operations and Write the Result in Standard −16+−64\sqrt { - 16 } + \sqrt { - 64 }−16​+−64​

Perform the Indicated Operations and Write the Result in Standard $\sqrt { - 16 } + \sqrt { - 64 }$