I'm learning imaginary numbers and I still need help understanding everything. like √( - 100)

Question

I'm learning imaginary numbers and I still need help understanding everything. like
`√( - 100)`

Answer 1

We have to remember that in imaginary numbers or complex numbers we have that:

`i^2=-1\Rightarrow i=\sqrt[]{-1}`

Then, if we have:

`\sqrt[]{-100}=\sqrt[]{100\cdot i^2}=i\cdot\sqrt[]{100}=i\cdot10=10i`

Then, the answer to that square root is 10i.