Identify each number as real, complex, pure imaginary, or nonreal com-plex. (More than one of these descriptions will apply.) √-36

Key Concepts

Real Numbers

Real numbers include all the numbers that can be found on the number line, encompassing both rational numbers (like integers and fractions) and irrational numbers (like √2 and π). They do not include imaginary or complex numbers, which involve the square root of negative values.

Complex Numbers

Complex numbers are numbers that have a real part and an imaginary part, expressed in the form a + bi, where 'a' is the real part and 'b' is the coefficient of the imaginary unit 'i', which is defined as √-1. Complex numbers can represent solutions to equations that have no real solutions.

Imaginary Numbers

Imaginary numbers are a subset of complex numbers that can be expressed as bi, where 'b' is a real number and 'i' is the imaginary unit. They arise when taking the square root of negative numbers, such as √-1, and are essential in extending the concept of numbers to solve equations that do not have real solutions.