What is the square root of minus 2?

Answer 1

The square root of any negative number will always be a complex number.

The word 'complex' can be supplemented for the word 'imaginary' which is what they can sometimes be called.

'i' stands for imaginary and equals the square root of minus one.

sq(-1) = i - (that is the basic fact)

The imaginary numbers work in a quadratic fashion (x^2) so:

sq(-1) = i

sq(-4) = 2i

sq(-9) = 3i

(so it takes the positive form of the number and square roots it, then multiplies it by i)

Example:

sq(-2) = sq(2)x (i) = (1.4142 x i) = 1.4142i

Answer 2

i