Complex Numbers

A complex number is written in the form a + bi, where a is the real part and b is the imaginary part.

The simplification of √-23 is i√23.

\(\sqrt{-225} = 15i\)

i² = -1.

The letter 'i' represents an imaginary number.

The real part of a complex number a + bi is 'a'.

The imaginary part of a complex number a + bi is 'b'.

To add two complex numbers, add the real parts and the imaginary parts: (a + c) + (b + d)i.

To multiply two complex numbers, use the distributive property: (a + bi)(c + di) = ac + adi + bci + bdi² = (ac - bd) + (ad + bc)i.

The conjugate of a complex number a + bi is a - bi.