Question

What is 84i?I'm learning about imaginary numbers but I need extra help

Answer 1

The imaginary number 'i" can be written in another form below:

`i=\sqrt[]{-1}`

Whenever we have the root of a negative number, we use the imaginary number 'i' to write it in an easier form.

For example:

`\begin{gathered} \sqrt[]{-4}=\sqrt[]{-1*4} \\ =\sqrt[]{-1}*\sqrt[]{4} \\ =2*\sqrt[]{-1} \\ =2* i \\ =2i \end{gathered}`

Therefore:

`\begin{gathered} 84i=84\sqrt[]{-1} \\ =\sqrt[]{84^2*-1} \\ =\sqrt[]{-7056} \end{gathered}`