Imaginary Numbers

Imaginary numbers are numbers that can be written as a real number multiplied by the imaginary unit 'i', where i is defined as $$i = \frac{\text{sqrt}(-1)}{1}$$ .

$$i^2 = -1$$ .

$$x = \text{±}6i$$ .

$$\text{sqrt}(-64) = 8i$$ .

$$\text{sqrt}(-4) = 2i$$ .

$$\text{sqrt}(-1) = i$$ .

$$i^9 = i$$ .

The principal square root of a negative number is expressed in terms of 'i', the imaginary unit.

$$\text{sqrt}(-x) = i\text{sqrt}(x)$$ for x > 0.

Real numbers can be represented on a number line, while imaginary numbers are represented on a perpendicular axis, forming the complex plane.