Simplify. Write your answers in the form of a+bi, where a and b are real numbers.
-$$( 6 + \sqrt { - 9 } ) ( 2 + \sqrt { - 64 } )$$
A) $588 + 402 \mathrm { i }$
B) $- 12 + 54 i$
C) 90
D) $90 \mathrm { i }$

Question

Quizplus · Accepted Answer

First, simplify the square roots of negative numbers using $i$ where $i = \sqrt{-1}$. So, $\sqrt{-9} = 3i$ and $\sqrt{-64} = 8i$. Then, multiply the expressions: $(6 + 3i)(2 + 8i) = 12 + 48i + 6i + 24i^2$. Since $i^2 = -1$, this simplifies to $12 + 54i + 24(-1) = -12 + 54i$.

Simplify Write Your Answers in the Form of A+bi, Where (6+−9)(2+−64)( 6 + \sqrt { - 9 } ) ( 2 + \sqrt { - 64 } )(6+−9​)(2+−64​)

Simplify Write Your Answers in the Form of A+bi, Where $( 6 + \sqrt { - 9 } ) ( 2 + \sqrt { - 64 } )$