Maths & numbers

Complex number arithmetic

Add, subtract, multiply or divide complex numbers and inspect polar form.

Complex number arithmetic
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A clear answer. Here’s how.

Interprets each pair as real + i·imaginary, using standard complex arithmetic. Reports real and imaginary parts, Euclidean modulus and principal argument in degrees from atan2. Zero has no defined argument, and division by zero is rejected. Values use floating-point arithmetic; no symbolic simplification or branch-dependent logarithms are attempted.

See a worked example

Worked example

A fixed demonstration, separate from the values you enter above.

A: real / imaginary X
3
A: real / imaginary Y
4
B: real / imaginary X
1
B: real / imaginary Y
-2
Operation
A ÷ B

Example result

Real part
-1
Imaginary part
2
Modulus
2.2360679775
Argument (degrees)
116.565051177