#1**+2 **

The square root of -1 does not have a 'real' value because

if a negative number is squared then the answer is positive and

if a positive number is squared the answer is positive too

SO no number squared equals a negative number!

There is another number system which include numbers that are not real. It is called 'The complex number system.'

It has imaginary numbers and sqrt(-1) is the base unit for the whole set of imaginary numbers.

In hre complex number system i is usually assigned the value of sqrt(-1), although very occasionally j is used instead.

So

\(i=\sqrt{-1}\)

I hope that helps :)

Melody
Jun 12, 2017