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Complex Number Calculator

Math
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Performs addition, subtraction, multiplication, and division of complex numbers.

How To Use

How to use this calculator

Start with your values, or try a preset.

Step 1

Enter Real part of complex number A, Imaginary part of complex number A, Real part of complex number B, Imaginary part of complex number B, and Operation in the units shown.

Step 2

Read Imaginary part of result, Real part of result, and Result (a + bi) in the results panel. Results update as you change the inputs.

Step 3

Choose a preset to load an example, then adjust the values for your situation.

Worked Examples

Example calculations

See the inputs and their calculated results.

Add: (2 + 3i) + (4 + 5i)

Real part of complex number A: 2; Imaginary part of complex number A: 3; Real part of complex number B: 4; Imaginary part of complex number B: 5; Operation: Add

Imaginary part of result: 8; Real part of result: 6; Result (a + bi): 6 + 8i

Subtract: (2 + 3i) - (4 + 5i)

Real part of complex number A: 2; Imaginary part of complex number A: 3; Real part of complex number B: 4; Imaginary part of complex number B: 5; Operation: Subtract

Imaginary part of result: -2; Real part of result: -2; Result (a + bi): -2 + -2i

Multiply: (2 + 3i) * (4 + 5i)

Real part of complex number A: 2; Imaginary part of complex number A: 3; Real part of complex number B: 4; Imaginary part of complex number B: 5; Operation: Multiply

Imaginary part of result: 22; Real part of result: -7; Result (a + bi): -7 + 22i

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