How To Find The Cube Root of a Large Number

[@TheOrganicChemistryTutor]

Radicals - Free Formula Sheet: bit.ly/48lpFLt Final Exams and Video Playlists: www.video-tutor.net/ Full-Length Math & Science Videos: www.patreon.com/mathsciencetutor/collections

[@monique00z]

I love your methods...you make learning fun and contagious

[@beowulf2772]

KZbin ad be like: What! Youre still searching youtube for Math problems? Is that video from 2006 really helping? *skips ad*

[@STEM_Wise]

Literary same.

[@hashirahmed6621]

Lmao istg

[@looperover]

Viryl Lucas StudyPug is pure trash, they think math has changed a lot between 2006 and 2020.

[@0h_f1ve85]

Math pug: recomeded. My mind: recommended to f*** the executive ofices.

[@user-bo1bp1jz5i]

What! You’re still getting ads about looking for Math Problems that are from 2010? Is that ad really helping?

[@masterlaughter4924]

Dude, you are literally awesome, are you like a teacher or just a student doing these videos for fun?

[@PrecisionCSGO]

hes your dad

[@masterlaughter4924]

@@PrecisionCSGO my dad? Dad is it really you?!😢 did you ever find the milk? Please come home..... im tired of dry cereal

[@masterlaughter4924]

@Average Mo lmaooo

[@anvarjonmirzaliyev5147]

👏 @@masterlaughter4924

[@louisvandermerwe8012]

I am addicted to watching these videos, your new red dot cursor makes following easy, you are filling in the gaps in my rusted math knowledge, makes me want to go back to Uni.

[@roneldomandawe3792]

Your the reason my son is now the second best at math in his school thank you so much

[@maggiekaggs5924]

I like the slowness with which you explain. It's very good for students challenged with math. I like the fact that your examples are exhaustive beyond the cube of 10

[@sonandpets1215]

You are amazing! Making math, chemistry, etc. easier! Thank you!

[@georgesadler7830]

MR. Organic Chemistry Tutor ,thank you for another great video/lecture on How To Find The Cube Root of a Large Number. This mathematical technique for finding cube roots of large numbers without the use of a calculator are off the academic learning charts.

[@christopherbriest2469]

This is the first simple method for determining cube roots that I've ever seen. Everything else always seems to be guess work or calculus. Thank you for this.

[@frehadesh6673]

You are a golden teacher, god bless you, thank you!

[@rleroygordon]

I was looking for the division method of extracting cube roots. This works only if you're finding the cube root of perfect cubes. And of course, the biggest problem is figuring out is a number is a perfect cube.

[@anvarjonmirzaliyev5147]

Man, I cannot thank you enough for this video! It has been extremely helpful👍

[@marychiancola1978]

This is the most helpful video I've ever seen!!!

[@EARLy0]

Thank you for this Mister ❤️

[@octahexrunner]

So amazing! What a *_smart_* way to calculate it. 👍 👍 👍

[@octahexrunner]

So… 46656’s cube root is: First is we focus the last dight - it’s 6. So then 46 is between 2 and 4. So it’s 36!? I gonna tried it! 🥳

[@leullemma8436]

your method is amazing thanks for this video. thanks!!!!! this lesson is hard for me. but i see this video cube root are easy i appreciate you. keep it up!!!!!!!

[@seevsonitmishra5752]

You are the best chemistry 🧪 teacher

[@diablo6250]

Could you go further? Like 8 or 9 digits

[@seawall103]

this is mindblowing

[@haregewoinbezu9050]

Thank u so much 😊😊 u made me know every cube root

[@saiyours58]

Okay but..find Cuberoot of 7762392. Is it ok to remember or find the first 4 digits of 7 digit number cuberoot. But in my example that is given above first 4 digits are 7762.it is difficult to find exactly which is in between 2 perfect cubes. In this case how to we solve..?

[@saiyours58]

Learning 1 to 15 cubes is not enough for this type of cuberoots

[@ChristopherWoods-j6o]

This technique is brilliant! Does it have a name so that I can effectively mention it in class?

[@trishadeleon496]

is this working on any number? Because i tried it with 64,536 and I got 46 and 46•46•46 isn’t 64,536

[@T0ra99]

64536 isnt a perfect cube tho, of course you cant solve it this way.

[@user-cw2ni4li1i]

You really made my reports better

[@MwWarisi]

❤ great shortcut for perfect cubes

[@monayassinekaissi8440]

you are a great teacher . Love your method

[@litiarosarobert]

Thank you for letting us know how to do that God Bless

[@apa765]

Found it useful. Thank you for uploading

[@utsav-555]

Nyc method thnks... 😀😀

[@DreamXMusic10k]

Thank you for this master 😀

[@younissalim9352]

Amazing method ❤️

[@deepakhr3264]

you are a great mathematician

[@kindawn.8011]

I am in the 5th grade and this is so easy for me!!! Thank you so much for sharing your knowledge on the internet for little kids like me to understand!!! I wish you were my teacher!!

[@ADANABDILLEBULOW]

This guy is amazing

[@vanshikamanshan1726]

thanks i have to learn this sence i am in prekai and i need to be smary thank you

[@avanishdoki5321]

This man is a god. I rest my case

[@user-qt1bq5bw6i]

Splendid. Thank you!

[@AmbienceSoftable]

This can be reversed as well. Instead of matching the last digit of the cubed results, you can use the last digit of the number cubed. Goal: Find the cube of 50,653. Known: Last digit is 3. Option 1: Find the first number whose last digit is 3 when cubed, which is 343 from 7 cubed, giving a result of 7. Option 2: Take the last digit of 3 and then take the last digit from its cubed result of 27, once again giving a result of 7.

[@VijaySingh-ow5ek]

its help in mathematics exam that's a good trick i love this trick

[@NAA-sk1ov]

aye this helped a lot take this like my dude.

[@noahshearouse4554]

It's important to note that this ONLY works when you KNOW the answer is going to be a whole number. For instance, let's say you needed to find the square root of 17575, the number right below his first example. Using this logic, the last number is a 5 because it ends with a 5. The first number is a 2 because 17 is between 2 cubed and 3 cubed. This would give the answer of 25, but that isn't correct.

[@likwidmocean]

Most numbers don't have integer square roots and can be expressed in relation to the span of two prefect squares they're between, same with cubes. 23 has no roots, being prime, however it is 2 less than 5^2 which is a linear relationship to the next largest square, and 2^2 less than 3^3 which is a square relationship with the next largest cube.

[@user-qt1bq5bw6i]

True, there can be some such cases. Finding HCF of the number and knowing divisibly works. I think cross checking is the way to go. But this method is dope too for solving exam questions where it can be solved.

[@gregspencer8472]

This method doesn't always work. I tried a random number like 24,248...but your logic does not work. (using your method - last number is an 8..so cube root is a 2. Scrap last 3 digits = 24..which will be between 2 & 3 So other number has to be a 2 as well = 22. But 22 cubed is 10,648...not 24,248. Am I missing something?)

[@EmpyreanLightASMR]

Yes, you stumbled onto the biggest flaw of all these videos: these are perfect cubes. If you watch his similar videos on square roots, people are complaining about the same thing. The examples over there are perfect squares. So this method is actually completely useless lol. His videos are still great. But this stuff is pointless to learn.

[@archimedesmaid3602]

You are finding that these tricks are useless. If you want to you can learn to find square roots and cube roots of any number with pencil and paper only

[@37rainman24]

​@@archimedesmaid3602 yes, they mysteriously refuse to teach an actual method to find cube roots You tube has a hundred vids concerning cube roots, but not one which teaches a viable/useful method

[@codingwithMoebon]

thanks u helped me lot !! i am simply getting !

[@Shubham-iu8nn]

Sir, you're legend!

[@swastikabiswas6016]

Thanks a lot..👌

[@nathanielbird2632]

Okay. What I've got from this is that **to find a 5-7 digit's cube root is to:** **STEP ONE:** Know cube numbers 1-15 *(e.g. 6^3 = 216)* **STEP TWO:** Know what the last digit of cubes 1-10 correspond to. *_(7^3 = 343. This means 3, at the end of a cubed number means the cube root's last digit is 7.)_* **STEP THREE:** Last digit of cubed number tells you the last digit of the cube root you're trying to find. **STEP FOUR:** If the number is 5 digit, find out if the first two digits are between the 1-15 cube numbers you've memorized *(from step 1)* . **IF** for example the first two digit's 50; that's between 27 and 64 from 3^3 and 4^3. Now you know the cube root's first digit(s) is either 3 from 3^3 *OR* 4 from 4^3. _it's always the smaller number._ So, the 3 from 3^3 instead of 4 from 4^3 HOWEVER; If the number is 6 digit, find if the first three instead of first two digits are between the 1-15 cube numbers you know. *(e.g. 407 is between 343 and 512 from 7^3 and 8^3. You need the first four digits for a 7 digit number instead of first three for 6 digit or first two for 5 digit cubed numbers. **FINAL STEP:** So you have the first digit(s) from step 4 and the last digit from step 3. There's your cube root! _Try the examples in the video with these steps_

[@saiyours58]

Okay but..find Cuberoot of 7762392. Is it ok to remember or find the first 4 digits of 7 digit number cuberoot. But in my example that is given above first 4 digits are 7762.it is difficult to find exactly which is in between 2 perfect cubes. In this case how to we solve..?

[@shakilurrahman3168]

I love this methods

[@genehughes4022]

Awesome love this so much made jump for math lol

[@frehadesh6673]

Thank you so much, you mad genius, amazing!!!

[@pidevildog07]

but what if it starts involving decimals?

[@premendraverma8120]

thanks a lot! this video is great

[@banazookahpersonal3521]

ty soo much now this makes sense

[@lindaluke3704]

Thank you so much.

[@aakashkarajgikar3935]

6:48 How do you know all those perfect cubes? Did you memorize them? Or do you have them on a sheet of paper in front of you? And how about a really really large number? Will this kind of method work for numbers like, 3552713678800500929355621337890625?

[@sealver5970]

It only works on perfect cube unfortunately

[@sadadiop2910]

thanks so much

[@wxse]

This is so cool

[@ericthecuberspeedcuber]

how about the fourth root

[@SomeoneI_Guess]

Thank you so much

[@yashindersingh5148]

No gae things but bro I love you for this 😭

[@dreamsfan3210isop]

Amazing method! But what is the formula for calculating it? This method is for calculating cube root in mind, you can't write it in formula

[@allmight801]

ah how usefull it would be if only i knew those perfect cubes heh i only know perfect squers up to 15

[@conraddiadole3260]

what is cube root of 2?

[@candice2562]

@@conraddiadole3260 ur mom

[@nabie981]

So cool!

[@Ensign_Cthulhu]

What do you do when it ends in a zero? This should have been demonstrated explicitly.

[@Hellcommander245]

Calculator? Why not calcuNOW!

[@rishibhawsar685]

What if the number are not perfect cube ?

[@anthonygong100]

RIP Kobe

[@triin2510]

gonna marry you one day just to thank you and leave!! i loveee the way you expainnnnnnn

[@deidara_8598]

How does one calculate the cube root of a 4000 digit number?

[@ronalddump4061]

How accurate do you want your answer to be? I can give your answer to 10 digit accuracy , pen/paper only, in less than 20 minutes, on about 2/3rds of a sheet of paper. So what is your 4000 digit number?

[@deidara_8598]

@@ronalddump4061 Assume it's a perfect cube, pen and paper, all digits. How would you do it?

[@deidara_8598]

@@ronalddump4061 I was thinking a number like this 3800319411734713900405477214458735562774127736896310834500152155616963078270502205387468035180517773710496012476562522950165071502439329710576999803685928603079432797729971261159760678222068230674662097696152877967085927272300236157814886069264645942486813560857419478101283187289296491455623224917923550041461033477235396931368461419401055187308728619266608538395226494923753157902759946409646939779012307578219573208432442124158301373833279785425512756396300840079768640802380198160529200732102599015526488671209530798123376549213420506121430970322611732572265415485856255067758365949490463155625489812055366477846695513266597856979958245014905345179128330890065601347720361195204461186178281187125287649772615112980619938458912889041585348154835315936461082592280482272395749756619508619087045597227741437636090055727762502054926776770621871090695898611197994770656681044551387394068390732099170257175127722714983181959506958879320867003446890204153188857484024220550839414245164458158618903823723052427897433270807672556049377760827868680597691885981984693291381635754732058802610417513382683516035749021682851653375486523442856525885961248583635295350726794117390567081545226265447226589624664484657735035303017115901798332600451131992093259099812426923719756375200125144657932013788534405975197062579507480736126090499655334801096207776875630465280919253102824155105062140832833436675759918819927327677225889894936797285770102255376348077487143919018854256188539363807397061611072982597281515601878424003361502729717731508744333678571828343789568510845259491818051787034568192080927501093599649814749899586410417175425760863807542798085614653059714867612259927392176909084581003602757337473110107480277596774721481667955497647056364629483259499202949136753683265842011209377228532995576162122971628269560581421711974461622688420199058165916585817240850970571306390793384851483141815186898713631393487834045611467940886104565844336841408628510927436849313297916341826417113623365227328137661993105889774566764764313384210635045038077199604894972652231496325768350739609238362086711276445864337544252132749113437714397697078969502015886144091705332311749530913104829785490112022015178386175362222828628540700090305961032866766168386408657390925894317126926328087627165325923206111901352248009909197804414210938685532416883036727079455305928438109851600975617873276163178378825192117070601386948429714966547748432490636213375908196048969228657998573019497615845345934955403321152184029880760130016947998006153490686408019797358641377963057432178773754712113216648802014501254765585432448985124934831774180087405362756132356109885463834297923926308496140280153384097618088446402514447159478650210841457230314374200384313032785952643612398057889534333168689808175628452668257034325364160447565905726684839684532328764899153298317644749962634866084973948429811859980511465678745034359077670461369885125141539446321871611273302588147181011832488151449358114547721724760820715196976075788598694516302070539322651348901766467928741274080744082125951429121911002622554766208991639392026087684743387412576843461037506873383528843990824725088977337074234538778208144732762787521656631077668438418058281651570341121027341006802545908084098034642847562324352481044809429358383596857208008561629883842059234814040871192496410640740791030049741752604380197375939277260177301242709913724524856329357316375257875971749116750624488487572980783104732836566774782308304146887297499672326269244076575842312239086898104307562187692831363847979569526715834743019565003770710237846733952572833626004918994922270561684783668664229641589441093075486561439854006565652613659399226317494762381345317075035730222675403232559881060308248275634403753553073202712726120722856635812473704359321553008572262848881209787750031633865871720448000 Completely random, of course, totally no hidden messages here.

[@ronalddump4061]

@@deidara_8598 Sorry, i am not interested in finding the cube root of perfect cubes because the talent is perfectly useless in the real world! There is not one useful thing you could ever do with such a talent. Maths is a tool with which we accomplish USEFUL THINGS As i stated, i can find the answer to your problem to 10 digit accuracy in less than 20minutes, pen paper only. About 2/3rds of a sheet. Regardless of whether it is a perfect cube To start, assuming your number is actually 4000 digits we can begin by sayingthe answer is obviously the cube root of 3.8003194117 x 10^1333. So we need to find the cube root of 3.8003194117, and we have accomplished our task. To learn to do that it wont help at all for you to be watching these goofy videos about how to find cube roots of perfect cubes. So the real question is one of whether or not your question was even serious.

[@archimedesmaid3602]

@@deidara_8598 Thats the point, it is just as easy if it IS NOT a perfect cube. There is no utility in being able to find the sqrt or cube rt of perfect squares and cubes Square rt is quite simple, cube roots is more involved. No one teaches a practical long division method to find cuberoots on utube. A few begin, but they always decide it is to cumbersome to be practical. It is not, you just need to think outside the box a bit, and figure it out. Here is a long division method to find CRs, but he doesnt figure out how to make it practical. Can you? kzbin.info/www/bejne/r2HUiHuDoqiMaqc As for your question, I assume you want an answer to 1333 digits of accuracy. That is do able but it would take many thousands of hours, and many thousands of pages of arithmetic. There is no reason to want to do that anyway. No one needs that kind of accuracy.

[@NISHUGARVU]

This trick doens't work if you take any random number and it will fail. What will be the The cube root of 19346, according to this trick it will be 26 but cube of 26 is 19576. So that cant be right

[@sedled2829]

I know this fun in some circles. But as a practical user of math when are you gonna need use this. You should make a video about how we can love numbers again. Idk it's a tool at the end of the day🤷🏾‍♂️

[@archimedesmaid3602]

Deceptive title. The title should be "How To Find The Cube Root of a Perfect Cube" As such, this talent is perfectly useless, except as a childs parlor trick, for obvious reasons. You could just teach a method to find the CR of ANY number.

[@katiesmith7946]

My problem is that i need to know the cube root of 250 and it cant be a decimal. wtf dude

[@themooanator8701]

Make the cube root of 250 into cube root of 50 times cube root of 5. Next turn the cube root of 50 in three parts, cube root of 5, cube of 5, cube root of two. Together you should have cube root of 5 times, cube of 5 times cube root of 5, and times the cube root of 2. You will then find the three cube roots of 5 would equal 5 and you will also be left with cube root of 2. So your answer will be 5 times cube root of 2.

[@ronalddump4061]

@@themooanator8701 Lol. Hey genius. All that youdid there is teach him to factor 250. That does not help to find the CR of 250. Because it is no easier to find the CR of 2 and multiply the answer by 5, than it is to just find the CR of 250 in the first place. Which you can teach yourself to do with pen/paper, to very high accuracy, in a few minutes, using very little paper space

[@themooanator8701]

@@ronalddump4061 I was trying to show him the exact answer in terms of factoring because he didn't want the decimal form and didn't know how to express it without being an exact number.

[@ronalddump4061]

@@themooanator8701 Bu,bu, but, but the most concise way to express the cube root of 250, "w/o expressing it in decimal form" Is, to simply say "the cube root of 250". Btw, do you even know how to calc the answer in decimal form, with pen and paper only, , out to say 7 places? In a practical amount of time and space, that is? I can assure you a frantic search of utube wont help, there is not even one vid on the subject, among the thousand vids pretending to be on the subject. Apparently i am the only person on earth who can do it. (-;

[@themooanator8701]

@@ronalddump4061 Not hard my guy. And no. The best way to express the cubed root of 250 would be five times the cube root of 2. No point in knowing how to write the exact answer 7 places when no one would want it rounded seven places. I also doubt you can do it in a reasonable amount of time.

[@ageybenali6967]

Try the number 1991 tell me if it works for you

[@alf8718]

Oh, what a beautiful method, One only needs to remember (by heart) the cubes of numbers 1, 2, 3, 4, ...... 333, 334, 335 .........and so on. and then and ONLY then One can use it for large numbers. And the author of the video suggest to use the calculator to check the result (maybe One shoud use the calculator in the fisrt place). There are much better iterative methods out there (if One doesn't have access to calculator which by the way is a part of software of any smartphone, of if it's not there by default, One can find many different calculator apps) And for this method he uses 11 minutes!!!! Thumbs DOWN!

[@lolk7917]

Not everyone wants to learn all the cube roots though...

[@sherinm597]

Its not working...can u solve 12996 using this method..magain I am getting 26...🥵

[@somyagulani1155]

It is not a perfect cube

[@somyagulani1155]

This method is to take out the cube root of perfect cubes 12996 is not a perfect cube

[@Mine_master7373]

Op 😯

[@likwidmocean]

your 'very big numbers' are tiny

[@Azlaansworld-ni8er]

😂

[@ronalddump4061]

How hilarious. "How to find the cube root of a large number" . So he pulls the 17,576 out of his hat like it is some random number. Wrong title, and that number is not some random number. Dishonest, and this method is perfectly useless for anything real. Why not just teach how to find the cube root of ANY number?

[@atharvahalapeti9775]

It's not possible to find the cube root of any number, as it would just result in a decimal that could be irrational. Don't label his method as dishonest, because there are many uses for if it's a perfect cube. Besides, you don't need a method to find the cube root of any number because you can use his method and round up and down as needed. In addition, of course the numbers aren't random. He's selected them before so the video is quick and efficient, otherwise he'd spend unnecessary time thinking of numbers in the video.

[@ronalddump4061]

@@atharvahalapeti9775 Stupid comment What is the cube root of 2003469876 accurate to 7 digits. Or 5 digits. Or 10. Lol, what is"impossible" about that? There is nothing challenging or useful about being able to find the cube root of a two digit number cubed. There IS something useful and challenging about being able to find the cube root of just any number you might need to find the cube root of What's this about "irrational" numbers? So I suppose we are never going to multiply 12 by pi, because the result will be irrational!!! That, in itself is kind of irrational thinking, don't you think???

[@atharvahalapeti9775]

@@ronalddump4061 I'm not here to start any arguments, so just calm down a little, and back off on the sarcasm. I was just presenting my views in a detailed an organised manner.

[@moinkhan]

Amazing! Thank you.