Complex Addition Calculator

Use our free complex addition calculator to add two complex numbers (a+bi) + (c+di) with a detailed step-by-step breakdown.

Math

z₁ =

z₂ =

Formula

Add two complex numbers with a full step-by-step breakdown showing real and imaginary parts added separately.

(a₁+b₁i) + (a₂+b₂i) = (a₁+a₂) + (b₁+b₂)i

Percentage: The percentage value you want to apply

Number: The original number or value

Result: The calculated result

How It Works

1Enter z₁ as a+bi.
2Enter z₂ as c+di.
3Click Calculate to see the sum.

Examples

(3+4i)+(1+2i)

1.Real: 3+1=4
2.Imaginary: 4+2=6
3.Result: 4+6i

Result: 7.2111025509

(5−3i)+(−2+7i)

1.Real: 5+(−2)=3
2.Imaginary: −3+7=4
3.Result: 3+4i

Result: 5

Frequently Asked Questions

Add real parts and imaginary parts separately: (a+bi)+(c+di) = (a+c)+(b+d)i.

Yes — a real number like 5 is treated as 5+0i.

Enter like 3+4i, -2i, 5, -1-i.

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CalculateMe Team

Last updated: 2026-07-15

Complex Addition Calculator

Formula

How It Works

Examples

(3+4i)+(1+2i)

(5−3i)+(−2+7i)

Frequently Asked Questions

How do you add complex numbers?

Can I add a real number?

What format should I use?

Related Calculators

Complex Addition Calculator

Formula

How It Works

Examples

(3+4i)+(1+2i)

(5−3i)+(−2+7i)

Frequently Asked Questions

How do you add complex numbers?

Can I add a real number?

What format should I use?

Related Calculators