Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

perform the indicated operation. write the a (3i)(4i)= i

Question

perform the indicated operation. write the a
(3i)(4i)=
i

Explanation:

Step1: Multiply the coefficients

Multiply 3 and 4.
$3\times4 = 12$

Step2: Multiply the imaginary units

Multiply $i$ and $i$. Recall that $i=\sqrt{- 1}$, so $i\times i = i^{2}=-1$.

Step3: Combine the results

Multiply the result from Step1 and Step2.
$12\times i^{2}=12\times(-1)=-12$

Answer:

$-12$