Perform the indicated operations and write the result in standard form.
-$\sqrt { - 64 } ( 6 - \sqrt { - 64 } )$
A) $48 \mathrm { i } = 64$
B) $64 + 48 i$
C) $48 i + 64 i ^ { 2 }$
D) $48 \mathrm { i } - 64 \mathrm { i } ^ { 2 }$

Question

Quizplus · Accepted Answer

First, simplify $\sqrt{-64}$ to $8i$. Then, multiply $8i$ by $6 - 8i$, which gives $48i - 64i^2$. Since $i^2 = -1$, the expression simplifies to $48i + 64$, which matches option B.

Perform the Indicated Operations and Write the Result in Standard −64(6−−64)\sqrt { - 64 } ( 6 - \sqrt { - 64 } )−64​(6−−64​)

Perform the Indicated Operations and Write the Result in Standard $\sqrt { - 64 } ( 6 - \sqrt { - 64 } )$