Question

Find the product. Express your answer in standard form. (- 3 + 7i)(sqrt(6) + 5i)

Answer 1

`(-3√(6)-35)+(-15+7√(6))i`

Explanation:

Multiply using the distributive property of multiplication:

*Remember that i is equal to the root of -1.

`\begin{gathered} (-3+7i)(√(6)+5i) \\ =-3√(6)-15i+7√(6)i-35 \\ =(-3√(6)-35)+(-15+7√(6))i \end{gathered}`