Can some explain to me how:

$${\sqrt{-{\mathtt{1}}}} = {i}$$

and how do you work out the sqaure root of -1?

NathanDeAlien
Nov 30, 2014

#1**+5 **

Hi Nathan,

i is the basic unit of the imaginary number system.

Nothing multiplied by itself can be negative. That is impossible in the REAL world.

So $${\sqrt{-{\mathtt{1}}}}$$ does not exist in the real world.

BUT there is a whole other system of numbers called imaginary OR complex numbers and in that system

$${\sqrt{-{\mathtt{1}}}}$$ is assigned the letter $${i}$$

Melody
Nov 30, 2014