Simplify Imaginary Numbers

An imaginary number is a complex number that can be written as a real number multiplied by the imaginary unit 'i', where i is defined as the square root of -1.

The value of $$i$$ is defined as $$\text{sqrt}(-1)$$ .

$$5i$$ .

$$3i\text{sqrt}(2)$$ .

$$2i\text{sqrt}(3)$$ .

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

The formula is $$\text{sqrt}(-x) = i\text{sqrt}(x)$$ for any positive real number x.

$$i\text{sqrt}(5)$$ .

The principal square root of a negative number is the positive imaginary number that, when squared, gives the original negative number.

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