Complex Number Calculator
A complex number are numbers which are imaginary usually there is a real component and an imaginary component in the number.
What is the Complex Number Calculator?
'Cuemath's Complex number calculator' is an online tool that determines the final complex number form of two given complex number. Cuemath's online Complex number calculator helps you to find a Complex number.
NOTE: Please enter the values up to 3 digits only.
How to Use Complex Number Calculator?
Please follow the steps below to find the final complex number :
- Step 1: Enter the value of complex number 1 and 2 then enter operation you want to perform on them.
- Step 2: Click on the "Calculate" button to find the final form of value.
- Step 3: Click on the "Reset" button to clear the fields and find the final form of value for a different complex number.
How to Find the Sum, Difference, Product and Division of Complex Numbers?
Complex Number calculator helps to find the final complex number after performing a mathematical operation on two complex number.
z = a+ib, y = c+id:
Complex Number operations:
1. Addition : a+c +(d+b)i
2. Subtraction : a-c+(b-d)i
3. Multiplication : (ac-bd) + (ad+bc)i
4. Division : \({ ac+bd + (ad-bc)i \over c^2+d^2}\)
Solved Example:
Find the final form of the complex numbers z1 = 3+4i & z2 = 6+8i after performing each operations.
Solution:
Given z1 = 3+4i
z2 = 6+8i
1. Addition : a+c +(d+b)i = 3 + 6 + (4+8)i = 9 + 12i
2. Subtraction : a-c+(b-d)i = 3 - 6 + (4 - 8)i = -3 - 4i
3. Multiplication : (ac-bd) + (ad+bc)i = -14 + 48i
4. Division : \({ ac+bd + (ad-bc)i \over c^2+d^2}\) = 0.5 + 0i
Similarly find the values for the given complex values : -
-
z1 = 5+12i, z2 = 12+5i
-
z1 = 3+6i, z2 = 1+2i
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