# Imaginary number

An imaginary number is a complex number that can be written as a real number multiplied by the imaginary unit i, which is defined as the square root of -1. Imaginary numbers are often used in mathematical and scientific contexts to represent complex numbers.

The term "imaginary number" is used to describe a number that cannot be expressed as a real number. Imaginary numbers are often used in mathematical and scientific contexts to represent complex numbers. Complex numbers are numbers that can be expressed in the form a + bi, where a and b are real numbers and i is the imaginary unit. Imaginary numbers cannot be expressed in this form, and so they are said to be "imaginary."

### What is imaginary number example?

An imaginary number is a number that cannot be expressed as a real number. An imaginary number is often represented by the letter "i" and is equal to the square root of -1. An example of an imaginary number is:

i = √-1 What is the imaginary number of 1? There is no such thing as the imaginary number of 1. The imaginary numbers are a mathematical construct that do not correspond to any physical quantity.

#### Why is it called an imaginary number?

The term "imaginary number" was first coined by the Italian mathematician Gerolamo Cardano in the 16th century. At the time, complex numbers were not well-understood and were considered to be somewhat mysterious. Cardano used the term to refer to the square root of negative numbers, which he believed were simply impossible to calculate.

Today, we know that imaginary numbers are a perfectly valid and useful part of mathematics. They can be used to solve certain equations that have no real solutions, and they also have applications in physics and engineering. However, the term "imaginary number" is still used in mathematics to refer to the square root of negative numbers. What is 2i? 2i is a complex number where i is the imaginary unit. The imaginary unit is the square root of -1. Complex numbers are numbers that can be written in the form a + bi, where a and b are real numbers and i is the imaginary unit.

Is 0 real or imaginary? The answer to this question depends on how it is interpreted. In the context of complex numbers, 0 is considered to be a real number. This is because complex numbers are composed of a real part and an imaginary part, and 0 has a real part of 0. However, in the context of real numbers, 0 is considered to be both real and imaginary. This is because the real part of a complex number is the number itself, and the imaginary part is the square root of -1. Therefore, 0 is considered to be both real and imaginary in the context of real numbers.