Complex and Imaginary Numbers
Operations and rules for working with imaginary and complex numbers.
Complex and Imaginary Numbers
Negative inside radical: take i out of the radical (e.g., sqrt(-25) = 5i).
Powers of i: i^1 = i, i^2 = -1, i^3 = -i, i^4 = 1. Divide exponent by 4 to find remainder.
Imaginary number in denominator: multiply numerator and denominator by the complex conjugate of the denominator.
Absolute Value with i: for |a + bi|, evaluate sqrt(a^2 + b^2). Always simplify radicals first.