Math & Statistics
Complex Number Operations
Add, multiply and find the modulus of two complex numbers.
Your inputs
Change any value to update the result instantly.
Product real part
5 + -1i
Sum
4
Sum imaginary
1
Modulus of 1
3.6056
Modulus of 2
1.4142
Formula and working
(a+bi)(c+di) = (ac−bd) + (ad+bc)i
- 1
Substitute your values
Real part 1 = 3; Imaginary part 1 = 2; Real part 2 = 1; Imaginary part 2 = -1
- 2
Apply the formula
(a+bi)(c+di) = (ac−bd) + (ad+bc)i = 5 + -1i
Frequently asked questions
Important limitation
This is an educational estimate based only on the values and formula shown. Verify current rates, rules, units, and professional standards before relying on the result. It is not personalized financial or investment advice.
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