Complex Number Calculator

The first (or only) complex number, in the form a + bi. Write the imaginary unit as i or j; expressions like sqrt(2)*i also work.

Which arithmetic operation to apply between z₁ and z₂. All four are computed exactly; division multiplies by the conjugate so the denominator becomes real.

The second complex number of the arithmetic operation, in the same a + bi notation as z₁. For division it must not be zero.

How many roots to find: every non-zero complex number has exactly n distinct n-th roots, evenly spaced on a circle around the origin — 3 gives the three cube roots.