Question

why is the square root of -1 equal to i

Answer 1

good question.

Answer 2

http://www.algebra.com/algebra/homework/Square-cubic-other-roots/Square-cubic-other-roots.faq.question.506680.html

Answer 3

I believe that's just how it's defined, isn't it?

Answer 4

this should help

Answer 5

It's because mathematicians decided to define it that way.

Answer 6

bec my teachers said so

Answer 7

what I meant to say was, mathematicians just decided to take the quantity sqrt(-1) and assign it the symbol i

Answer 8

ok

Answer 9

does this help @pocketpenguin1 ?

Answer 10

i understand that it is because the square root of -1 is not defined under real space due to the rules of square roots but i don't know how to write it in an algebraic form

Answer 11

not really @Houdini_Dragon

Answer 12

hmm ok one sec

Answer 13

can you give an example?

Answer 14

https://simple.wiktionary.org/wiki/square_root

Answer 15

how about now?

Answer 16

it's cycle