# Imaginary Number Calculator

An imaginary number is a number that results in a negative number when it is squared. Imaginary numbers are defined as the square root of the negative numbers where it does not have a definite value.

## What is an Imaginary Number Calculator?

An 'Imaginary Number Calculator ' is a free online tool that helps in finding the imaginary root in the decimal form of a given number. In this calculator, you can enter a number and find its imaginary root within a few seconds.

## How to Use Imaginary Number Calculator?

Follow the steps given below to use the calculator:

**Step 1:**Enter the number in the space provided.**Step 2:**Click on**"Calculate"**.**Step 3:**Click on**"Reset"**to clear the field and enter the new number.

## How to Find an Imaginary Number?

An imaginary number in standard form is x+iy and is usually represented by z.

**z = x + iy**

Here both x and y are real numbers.

- x is called the real part which is denoted by Re(z).
- y is called the imaginary part Im(z).
- iy is an imaginary number.(i =√1)

And value of i^{2} = -1. So, the root of negative numbers is represented with the help of i

**Solved Example:**

What is the root of the number √-49?

**Solution:**

√-49 can be written as √49 × √-1

and we know that √49 = 7

and √-1 = i

So, √-49 = √49 × √-1

√-49 = 7 × i

√-49 = 7i