A Proof That The Square Root of Two Is Irrational

Vsauce PO Box: PO Box 33168
L.A. CA 90033

***CREDITS***

Hosted by
Micorn Stevens

Edited by
Hannah Canetti

Curiosity Box VFX by
Eric Langlay

Music by Jake Chudnow and from AudioNetwork

***VSAUCE LINKS***

[Rio-csnx]

Alternative title: Michael having fun doing his hobby.

[kekero]

Rational
Ratio
I have never realized this and now am freaking out.

[wima]

16:05 the music synchs perfectly with the sound of the pencil drawing on the paper


this is extremely satisfying

[Brunoenribeiro]

Proof by contradition is like kryptonite for infinity-related questions, isn't it

[DrizzletGaming]

Michael: Or is it
2 million people: *Literaly creaming themselves*

[robinsonkaspar]

The ancient Pythagoreans would have literally killed you for this act of heresy. They really did not like even the idea of irrational numbers. They drowned the man who suggested that pi might not be some divine ratio like 22/7.

[invaderaid]

Michael would be an incredible teacher. Not even just for Maths, he seems to absolutely love learning and teaching

[ryane]

I was taught this proof in school yet was somehow still entertained enough to watch the whole video. There is my proof that Michael is an incredible host.

[natesullivan]

Doctor: What would you like to name your child?


Michael: I think i'll call it "c".

[Cyranek]

having ptsd flashbacks of doing proofs for exams

[just-a-silly-goofy-guy]

Irrational? Like Michael’s decision to not upload on the main channel ever?

[dylanwakefield]

Literally had this as a proof by contradiction question in a maths test and wanted to curl up in a ball

[ChrisLuigiTails]

"Negative... thirteen **exhales in disappointment** is odd"

[NesrocksGamingVideos]

The way you write "8" gives me nightmares.




edit 2 years later: You're free to draw the 8 any way you want, it's on me to not have the nightmares ^^ Also... please buy my indie game? I'm poor. Super Hiking League DX. Thank you.

[NaraASMR]

i really love it when these math videos give me a slight shift in perspective about something that is incredibly common/natural to me-, like, reducing fractions
i know in my head that 4/6 is equal to 2/3, easy, and i know that 4/6 can be reduced into 2/3 without changing its value. if you were to ask me _why_ the value doesn't change, my answer would be something like "because the ratio in relation to the numbers stayed consistent, the proportions of 4 to 6 are equal to the proportions of 2 to 3."

but here-, michael just gives the simple answer of "since both 4 and 6 can be divided by 2, we can divide this fraction by the fraction 2/2. and since 2/2 is equal to one, this is equivalent to dividing by one, which will not change the value of our number."
like-, "huh, that *_is_* true-, it is just like dividing by 1, never thought of it like that"
it makes absolute sense and shows a different way to describe the same thing-, it's so cool to me.

[williewanker]

'Unless our teachers have been lying to us our entire lives'
"YoU wOn'T aLwAyS hAvE A cAlCuLaToR wItH yOu"

[ThorHC]

Everybody gangsta til Michael hits us with that "OR IS IT?"

[ThePlatypusAvenger]

When he wrote the decimal number 0.8 and said YIKES i felt that

[Alchemistic]

Michael... Can you please pay Terrence Howard a visit.

[MegaSuperCritic]

How come I’ve never been told “rational” just means “able to be expressed as a ratio”?

*I invite you to join the 200+ commenters in advising that I didn't pay attention in school or that ratio is in the word. Please, showcase your originality for us all to see.