Imagining Numbers: The Quaternions and Other Number Systems

In our last episode, Pete explained to Noah that imaginary numbers aren't so imaginary after all. This time around, he shows Noah how all the other numbers kinda are. So, if you thought there was something less than real about the square root of negative one, wait 'til you hear about the square root of positive two! Buckle up, Math Club, it's time to let our imagination run wild!!

3Blue1Brown's video on visualizing quaternions

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Questions Answered in the Episode: • What is the mathematical definition of an irrational number? • How do quaternions expand upon the complex number system?