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## Domain and Range of Quadratic Functions

Quadratic functions are some of the relationships that we will always find in the study of algebra. One of the important characteristics of these functions is their domain and range. Here, we will start with a quick review of what the domain and range of a function...

## What are Complex Numbers?

Complex numbers are the numbers that are expressed in the form a+bi, where a and b are real numbers and “i” is the imaginary unit. The imaginary unit value is the square root of negative one, i = (√-1). For example, 5 + 3i is a complex number, where 5 is a real number...

## What are Imaginary Numbers?

An imaginary number is a number that, when squared, has a negative result. In other words, imaginary numbers are defined as the square root of negative numbers and have no tangible value. These numbers cannot be quantized on the number line. However, imaginary numbers...

## When did complex numbers appear?

The first mention of complex numbers is around 50 BC when finding a square root of a negative number. However, it was in 1545 that Cardano found these numbers formally while trying to obtain the roots of an equation. Complex numbers were standardized in 1777 when...

## Rationalizing the Denominator – Examples and Practice Problems

Rationalization is the process of removing radicals from the denominator of a fraction. To rationalize denominators we have to multiply the expression by a convenient value so that, when simplifying, we eliminate the radicals from the denominator. There are two main...