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Complex Number Calculator

Add and multiply two complex numbers, and find the modulus of the first.

 

 

 

 

Sum real
Sum imag
Product real
Product imag
|A|

About this calculator

Use this calculator for z = a + bi arithmetic. Enter the real and imaginary parts of two numbers A and B. The sum is (ar + br) + (ai + bi)i. The product is (ar br − ai bi) + (ar bi + ai br)i. The modulus of A is |A| = √(ar² + ai²).

This page does not divide, conjugate, or convert to polar form. i² = −1 is already built into the product formula.

A real: Real part of the first number.

A imag: Imaginary part of the first number.

B real: Real part of the second number.

B imag: Imaginary part of the second number.

Sum real / Sum imag: Real and imaginary parts of A + B.

Product real / Product imag: Real and imaginary parts of A × B.

|A|: Modulus of the first number.