Simplify the value (2 - 'squareroot' -64) + (6 + 'squareroot' -36). Express your answer in a+bi form.

First you need the definition for i which is \(i^2=-1\)

Which means that \(i=\sqrt{-1}\)

 

Simplify \({(2-\sqrt{-64})}+(6+\sqrt{-36})\)

 

This is how you can find the imaginary numbers:

 

\(\sqrt{-64}=\sqrt{64*-1}=\sqrt{64}*\sqrt{-1}=8*\sqrt{-1}=8i\)

 

You find that the first bracketed part becomes \(2-8i\)

Follow the same procedure for the second part to get your answer, the correct answer is among your options.