Perform different functions on complex numbers by entering values of variables in the complex number calculator.
Table of Contents:
This complex number calculator (imaginary number calculator) can perform multiple mathematical operations on complex numbers like:
Complex numbers are mathematical pairs of real (without iota) and imaginary (with iota) numbers. They are normally represented through the notation.
z = a + bi
Knowledge of complex numbers is required in many scientific fields like electromagnetism, quantum physics e.t.c.
Different arithmetical operations can be performed on complex numbers easily. The real part of the complex numbers reacts with a real part and the imaginary part reacts with the imaginary part.
The Iota of the complex numbers is neglected during some operations. Some examples are given below:
Example
Add the complex numbers 7 + 5i and 3 + 2i.
Solution
Identify and separate the real and imaginary parts and write them under each other.
Real part (a) imaginary part (bi)
7 5
+ 3 2
______________________________
10 7
The resulting complex number is 10 + 7i.
Example
Subtract the complex number 2 + 7i from 5 + 9i.
Solution
Identify and separate the real and imaginary parts and write them under each other.
Real part (a) imaginary part (bi)
5 9
- 2 7
_____________________________
3 2
The resulting complex number is 3 + 2i.
Multiply the complex number 5 + 11i from 2 + 2i.
Solution
= (5 + 11i )*(2 + 2i)
= 5 (2 + 2i) + 11i (2 + 2i)
= 10 + 10i + 22i + 22i2 (as i2 is equal to -1 so 22i2 is equal to -22)
= 10 - 22 + 10i + 22i
= -12 + 32i.
The resulting complex number is -12 + 32i.
Note: Don’t forget to enter the "-" sign with the values. For example, if a complex number is 5 - 2i, enter -2 as the imaginary value.
