The imaginary unit or unit imaginary number (i) is a solution to the quadratic equation x + 1 = 0. Although there is no real number with this property, i can be used to extend the real numbers to what are called complex numbers, … See more

The imaginary unit i is defined solely by the property that its square is −1: $${\displaystyle i^{2}=-1.}$$
With i defined this way, it follows directly from See more

• Hyperbolic unit
• Right versor in quaternions See more

• Nahin, Paul J. (1998). An Imaginary Tale: The story of i [the square root of minus one]. Chichester: Princeton University Press. See more

Square roots of negative numbers are called imaginary because in early-modern mathematics, only what are now called real numbers, obtainable by physical measurements or basic arithmetic, were considered to be numbers at all – even negative numbers See more

As a complex number, the imaginary unit follows all of the rules of complex arithmetic.
Imaginary integers and imaginary numbers
When the imaginary … See more

• Euler, Leonhard. "Imaginary Roots of Polynomials". Archived from the original on 16 December 2019. Retrieved 29 November 2012. at "Convergence". mathdl.maa.org. Mathematical Association of America. Archived from the original on 13 July 2007. See more