Perform the indicated operations and write the result in standard form.
-$3 \sqrt { - 64 } + 5 \sqrt { - 49 }$
A) $59 \mathrm { i }$
B) $- 59$
C) 59
D) $- 59 \mathrm { i }$

Question

Quizplus · Accepted Answer

The square root of a negative number involves the imaginary unit $i$, where $i = \sqrt{-1}$. Therefore, $3\sqrt{-64} = 3\cdot 8i = 24i$ and $5\sqrt{-49} = 5\cdot 7i = 35i$. Adding these together gives $24i + 35i = 59i$.

Perform the Indicated Operations and Write the Result in Standard 3−64+5−493 \sqrt { - 64 } + 5 \sqrt { - 49 }3−64​+5−49​

Perform the Indicated Operations and Write the Result in Standard $3 \sqrt { - 64 } + 5 \sqrt { - 49 }$