Square root of negative one (sqrt(-1))

The square root of negative one, expressed as \(\sqrt{-1}\), is represented by the symbol \(i\), which stands for an imaginary number. In mathematics, imaginary numbers arise when we try to find the square roots of negative numbers, which can't be represented on the traditional number line. The introduction of \(i\) allows us to work with complex numbers, combining real and imaginary parts to solve equations and model various phenomena in engineering, physics, and beyond. Thus, while it may seem abstract, it has practical applications in many scientific fields.