Simplify. Write your answers in the form of a+bi, where a and b are real numbers.
-$( 6 - \sqrt { - 36 } ) ( 2 + \sqrt { - 100 } )$
A) $72 + 48 \mathrm { i }$
B) $72 - 48 \mathrm { i }$
C) $- 72 + 48 i$
D) $3612 + 672 \mathrm { i }$

Question

Quizplus · Accepted Answer

First, simplify the square roots of negative numbers using $i$ where $i = \sqrt{-1}$. So, $\sqrt{-36} = 6i$ and $\sqrt{-100} = 10i$. Then, $(6 - 6i)(2 + 10i) = 12 + 60i - 12i - 60i^2$. Since $i^2 = -1$, this simplifies to $12 + 48i + 60 = 72 + 48i$.

Simplify Write Your Answers in the Form of A+bi, Where (6−−36)(2+−100)( 6 - \sqrt { - 36 } ) ( 2 + \sqrt { - 100 } )(6−−36​)(2+−100​)

Simplify Write Your Answers in the Form of A+bi, Where $( 6 - \sqrt { - 36 } ) ( 2 + \sqrt { - 100 } )$