Complex numbers
Complex numbers: use first real part, first imaginary part, second real part. Review the formula, worked example and calculation steps.
Inputs
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Formula & explanation
(a+bi) operated on (c+di), with i² = −1
Variables & units
- First real part
- Numeric value · minimum -1000000000000, maximum 1000000000000
- First imaginary part
- Numeric value · minimum -1000000000000, maximum 1000000000000
- Second real part
- Numeric value · minimum -1000000000000, maximum 1000000000000
- Second imaginary part
- Numeric value · minimum -1000000000000, maximum 1000000000000
- Operation
- Select an option
Worked example
(1+2i)(3+4i) = −5+10i.
Assumptions
The imaginary unit satisfies i² = −1.
Formula version 1.0.0. JavaScript floating-point arithmetic applies. Results display up to 6 decimal places; stored values retain available precision. Use the units shown.
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