Can Two Irrational Numbers Add Up to a Rational Number?
Sorry that “irrational” sounds so similar to “a rational” haha (not my fault!). Anyway, I decided to start making bonus videos on this channel again. Make sure you’ve also been tuned in to my main episodes on my @ComboClass channel (see below for links)
Notes/corrections:
"Rational times irrational" is always irrational only for non-zero rational numbers. 0 times an irrational number technically creates a rational number (0)
Near the end I just said "2" while I wrote the square root of 2. What I wrote (the square root of 2) was correct, not just 2.
Newest main @ComboClass episode: • The Mathematics of 2024's Rare Insect Swarms
Previous episode about irrationality proofs: • How to Prove a Number is Irrational
Links:
Main channel: / comboclass
Patreon: / comboclass
Subreddit: / comboclass
Combo Class, taught by me (Domotro), is a crazy educational show where you can have fun learning rare things about math, science, language, and more! This is actually kind of my "bonus" channel for my livestreams, shorts, and extra content - make sure you're also subscribed to the main @ComboClass channel where my main episodes go!
DISCLAIMER: any use of fire, tools, eating unexpected things, or other dangerous-seeming actions in this series are experiments that are conducted safely and professionally, and/or are accidents that I include in the videos for educational purposes. Do NOT try to copy any experiments (or accidents) that you see in these videos yourself.