Science & Data

Complex numbers

Use i as the imaginary unit. Hissab evaluates complex arithmetic and renders results in a + bi form.

i^2
(2 + 3i) + (1 - i)
(12 + 6i) * (17 - 7i)
1/i

Writing complex numbers

• i is 0 + 1i.
• A coefficient attaches directly: 3i, -2i.
• Add real and imaginary parts with + or -: 2 + 3i, 5 - 2i.

i
3i
-2i
2 + 3i
2 - 4i

Arithmetic

Complex values work with the same arithmetic operators as numbers.

i^2
(2 + 3i) + (1 - i)
(5 + 2i) - (3 + 6i)
(12 + 6i) * (17 - 7i)
1/i

Integer powers are exact. Other powers use the principal branch.

Examples

(12 + 6i) * (17 - 7i)
1/i
(2 + 3i)^2

Common mistakes