I already know that the SQUARE roots of negative numbers can be defined with "i" (imaginary) where we define the square root of -1 as "i".
What I want to know is if we define OTHER EVEN ROOTS of negative numbers in exactly the same way. For example, by this logic:
• the fourth root of -16 = 2i
• the sixth root of -15,625 = 5i
• the eighth root of -6,561 = 3i
Is this correct?
I'm about 90% sure that it is but I'm going for a solid 100% here.
If YOUR google-fu is better than mine, and you can provide a link that backs up your answer, by all means do. I will give you extra brownie points.