Approximations of Pi Using Square/Cube/etc. Roots! #shorts

Mini typo warning: 691 on the whiteboard should read 961. Whoops.

#shorts #short #pi #approximation #approximations #rationalnumbers #irraitonalnumbers #squareroot #squareroots #number #math #mathematics #numbers

Combo Class, taught by Domotro, is a crazy educational show where you can have fun learning rare things about math, science, language, and more! This is the channel for Combo Class SHORTS and EXTRAS - make sure you're also subscribed to the main Combo Class channel where full episodes go!

DISCLAIMER: any use of fire, tools, or other science experiments in this series is always done in a safe and professional way. Do not try to copy any actions you see in this series yourself.

[Domotro]

Mini typo warning: 691 on the whiteboard should read 961. Whoops. Anyway, make sure to also check out my full episodes on my main channel here: www.youtube.com/comboclass

[jwaj]

Square root of 9 is pretty much spot on
- engineers

[NOWABOmusic]

The 20th root of 8, 769, 956, 791 is 3.1415926534987...

It's accurate to the 9th decimal!

[pedromy]

Fun fact; with the 36th root of 789578687047901181 you're just decimals away from pi!

[davefoxxo]

Engineering project 😂

pi^2 = g and
pi = e = 3

[lindsaytang]

the 2234th root of is accurate to about 1100 decimal places

[RandomMusik]

For an engineering project ? 3 will do it

[mateusschmidt_]

the 50th root of 7202671944715432068164837 is 3, 14159265358979... witch is 14 decimal places correct. It is actually very easy to find one of these: first choose an arbritary aproximation to pi, then elevate it to a very big power (the greater the aproximation the greater the power, for 14 decimal places I choosed 50 as an exponent and it worked), then take the next integer and take the nth root of it.

[yunks]

made a simple python script to find one but seems like people already found some better lol

[brockobama]

355/113 is my favorite approximation.
113355 chopped in half, right half is numerator left half is denominator.
π = 3.14159265…
355/113 = 3.14159292…

[jamesfield]

Guys remember π=e=3. That is all you ever need.

[gamerpedia]

So
a^(1/b) ≈ π
a ≈ π^b
But a is an integer, which means given b, the best value of a to approximate pi is
a = round(π^b)
Which is
a = floor(π^b+½)

So to approximate π under this criteria you do
(floor(π^n+½))^(1/n)
You can keep increasing n until you reach whatever arbitrary precision you want

[plislegalineu]

I bet Matt Parker is already creating some "terrible Python code"

[thetuneplug]

Jack Harlow stops rapping and starts using his brain for a sec

[Megamalarkey]

Your like a genius mix of jack Harlows looks and Andrew tates voice

[quay]

11th root of 294204 is 3.141592636...
Which is pretty good considering I only memorized up to the 6th decimal place.

[paull]

The 24th root of 854, 273, 519, 914 is equal to 3.14159265359, which is equal to pi rounded to the 11th decimal place.

[vipgamez]

You can get an insanely good approximation of any irrational number using Euclid's algorithm and continued fractions. Its also extremely quick and easy to do. As soon as you start getting the convergents of pi, you get 3/1, then 22/7, which is already a really good approximation and with each next step it just gets closer and closer. One of the best ones is 355/113, which is still not using numbers that are too big and already accurate to the 5th decimal.

[putrawahyudi]

I love this short, dude.. this is stunning..

[howdyfriends]

8th root is worse than that one, but the 9th root of 29809 is 3.14159149