Complex Numbers

A complex number is a number of the form $a+bi$ where $a$ is the real part of the complex number, and $bi$ is the imaginary part of the complex number. The imaginary unit $i={\sqrt {-1}}$, and can be used to express imaginary numbers (for example, ${\sqrt {-25}}=5{\sqrt {-1}}=5i$). If $b=0$, then Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle a + bi } is a real number. If Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle a = 0 } and b is not equal to 0, the complex number is called an imaginary number.

Resources

• Complex Numbers, Paul's Online Notes
• Intro to Complex Numbers, Lumen Learning