We hope the work with complex numbers is not going to be tough anymore with our Adding Complex Numbers Calculator. Just input the complex numbers you want to perform addition and click on enter to get the relevant output.

Ex: (2+2i)+(4+4i) or (2i)+(4+4i) or (2+2i)+(4+4i)+(4+4i)

Adding Complex Numbers Calculator:Performing basic Addition operation on complex numbers and need any assistance? You can use this handy tool to simplify complex expression too easily along with the detailed steps shown. This calculator makes it easy for you to determine the addition of complex numbers within a fraction of seconds.

## What are Complex Numbers?

In Maths, Complex Number is basically defined as the combination of a real number and complex number. Real Numbers are those which we work on to do mathematical calculations. Imaginary numbers aren't used for general calculations but in the case of complex numbers. We can perform several basic operations on complex numbers like Addition, Subtraction, Multiplication, Division, etc.

### How to Add Complex Numbers?

We know that complex number is in the form of Z =a+ib where a, b are real numbers

Consider two complex numbers Z1 = a1 + ib1 and Z2 = a2 + ib2

Addition of Complex Numbers Z1 and Z2 is given by

Z1+Z2 =( a1+a2 )+i( b1+b2 )

We can see the real part of the resulting complex number is the sum of the real part of each number and the imaginary part of the resulting complex number is equal to the sum of imaginary parts of each complex number.

i.e Re(Z1 + Z2)= Re(Z1)+Re(Z2)

Im(Z1 + Z2) = Im(Z1)+Im(Z2)

For all the complex numbers Z1 = a1 + ib1

Z2 = a2 + ib2

………

………

Zn = an+ibn

Learning will be much fun and easier with free calculator tools at onlinecalculator.guru and you can solve your problems effortlessly. ### FAQs on Addition of Complex Numbers

1. Is the sum of two complex numbers always a complex number?

Not necessarily a complex number if the imaginary parts of the complex number are the same with an opposite sign the sum is purely real.

2. How to perform Addition of Complex Numbers?

You can Perform the Addition of Complex Numbers by adding the sum of real parts of each number to get the real part and imaginary parts of each number to obtain the imaginary part.

3. What is the Addition of Complex Numbers 2+3i and 3+5i?