Find ( 2 i ) ( 4 i ) and express the answer in the standard form of a complex number.
A) 2 + 4 i
B) $-$ 8 + 0 i
C) $-$ 8 i
D) 8 + 0 i

Question

Quizplus · Accepted Answer

Multiplying two complex numbers in the form $a + bi$ involves using the distributive property, similar to multiplying binomials. Here, $2i \times 4i = 8i^2$. Since $i^2 = -1$, the expression simplifies to $8 \times -1 = -8$, or $-8 + 0i$, which is in the standard form $a + bi$ where $a = -8$ and $b = 0$.

Find ( 2 I ) ( 4 I ) and Express