Square Root II 6-Digit Numbers II Just 10 Seconds II Short Trick II Simplification

The square root of 6-digit numbers are a little difficult to find using the traditional long division method......watch this amazing method to find it in 10 seconds......TOO GOOD FOR COMPETITIVE EXAMS AND FOR STUDENTS OF CLASS VIII AND ABOVE......for more shortcuts, keep watching:
/ @sureshaggarwal
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[@manishapawar877]

Hello Sir..amazing method! I tried your method for various 6 digit numbers and it worked perfectly fine. Had difficulty in finding the square root of 176400,564001 with this method.

[@ashokdubey5504]

I think problem will appear when matching results number at last stage after sum of six digits number i.e

[@onlydreams4328]

Sir what about when the question will be find the sqaure root of 6 digit number when it is not a perfect square?

[@sikdersacademy]

hmm you r right! i will published a video on this tropic shortly... in my youtube channel..

[@ksoh1oe276]

There are couple of tricks by which you can tell a no. Is a perfect square or not one such trick is 1. Digital sum of digits of the number should be either odd or 4 , only then the number will be a perfect square. For eg. A no. 4725 it's digital sum is 4+7+2+5= 18 which is even so it will not be a perfect square.

[@venkateshpedada7588]

@@ksoh1oe276 do you really think 4725 digit sum value is 18....???

[@ksoh1oe276]

@@venkateshpedada7588 I'm literally struggling with formulas of physical chemistry , physics and maths itself and some random guy on KZbin is teaching me how to do addition ...... 💀💀💀 ..... Well then what is the sum if it's not 18?

[@venkateshpedada7588]

@@ksoh1oe276 I didn't mean that but digital sum mean the final answer should be in single-digit brother

[@madhavharish2575]

Finally i found the universal technique for 6 digit perfect square root YOUR GENIUS SIR!!🤩🤩

[@chaiwatsiripornpaiboon7843]

Dear sir, please kindly solve this question. the square root of 186624 which one is correct between 432 or 438. It looks weird for the results.(Which digits are the same.)

[@misha_afton6977]

Ans is 432

[@rishitashah9157]

Sir 789 ke square krne pr yeh method use nhi ho rha h Square of 789 is 62252 and it's digital sum is 8 and the digital sum of 781 is 7 and the digital sum of 789 is 6 Agr sum ko same digit s multiply bhi kia jaye to bhi digit sum same nhi h So agar digital sum dono ans m s kisi ek que k digital sum k near ho to vahi ans hoga kya..?

[@yoshiomaki1517]

Is this method applicable only for problems with a 6-digit number?

[@SANJEETKUMARONEARTH]

Yes see the title

[@sushmagupta1804]

What if the digital sum of two possible numbers is the same. Example: Sq root of 243049. Options : 493 and 497.

[@balakrishnanirde6842]

Sir, you have taught a simple method to find the square root of Six digit numbers. If you don't mind my suggesting this, we can save much time while adding numbers to find the digital sum. 1. In a string of numbers, we can ignore number 9, since any number added to 9 gives the same digital sum. If we take, for example, 8691987, 8+6=14=5, ignore two 9s and also (8+1)=9 and take last digit 7. That is 7+5=12=3. If you add 8+6+9+1+9+8+7=48=4+8=12=3. So, considerable time is saved and also mistakes while adding long numbers is also avoided.

[@Abhi-rd4me]

However, this digital sum method doesn't work in a few cases where sum for both possible answers turns out to be the same. For e.g.: 725904, 732736 etc.

[@tonybarfridge4369]

This is a wonderful method. I would like to suggest however a way of calculating the final digit. In example 1 for instance the options are 544 or 546. Using 54x55 which is 594x5=2970, it is seen that 2981 is higher, so the answer is the higher option of 546. This can also be verified with the digital roots. In example 3 the choices are 622 or 628. 62x63=65x60=3900, and 3868 is lower, thus 622. With 786769 it is 883 or 887. We could do 88x89=87x90=7830, as 7867 is higher, the answer is 887. In this case it is clearly the higher as 78 is much nearer to 9^2 than 8^2

[@RainWAYONYT]

Yo chillllll

[@Abhi-rd4me]

Thanks. The method which you mentioned comes to the rescue in cases where digital sum of both possible answers turns out to be the same. Like while finding sq. rt. of 725904 (possible answers: 852 & 858; digital sum=9 for both), 732736 (possible answers: 854 & 856; digital sum=1 for both). And there will be plenty 6 digit perfect squares like these. However, I'd like to mention that the test you used at the end of your comment ("78 nearer to 9^2 than 8^2 so must be 887 and not 883") to verify the answer doesn't always work. For e.g.: take 243049. Here possible solutions to its sq. rt. come out to be 493 & 497. Again, the digital sum method doesn't yield result as it comes out to be 4 for both. Now, 49x50= 2450 and 2430

[@tonybarfridge4369]

@@Abhi-rd4me No, the lower option is correct because 5^2 is over 24

[@Abhi-rd4me]

@@tonybarfridge4369 Wait. Correct me if I'm wrong. Proximity test while finding sq. rts. requires that we consider the perfect square lesser than the number (in this case first two digits i.e. 24) and a perfect square greater than it. Then we compare whether our number is closer to the lesser square or the greater square. If it's nearer to the greater square then greater of the two possible solutions is correct and vice-versa. That's why you wrote that last line in your original comment? Now you're saying, "lower option is correct because 5^2 is over 24". Then I can say for your example 786769 that no, lower option is correct because 9^2 is over 78. But it isn't. What am I missing?!

[@railwaystech6395]

√243049 = either 493 or 497 .both digital sum is 4 so, how do find correct answer .question NO. 27 in YTC BOOK.

[@harishsharath478]

Sir, Is this method is only applicable for 6 digits?

[@r0098]

Ye. Unless you wanna complicate it

[@parothelegendboy8365]

Really it's a amazing short trick for find out square root.

[@venkateshpedada7588]

Finally, I found the best after spending half my day and it would be the greatest if it includes finding the non-perfect square if it is covers in another video please share the link sir thank you

[@arnavpandey6053]

I know how to do it

[@AmanKumar-hf8um]

Go with long division bro. its also long division somewhat twisted

[@pooransingh7177]

Sir how we got to which no. will we take to solve division method .. Eg - how we know in 2nd question is 6 we will take

[@muzammiliqbal3180]

Dear Suresh Aggarwal, if digital sim did not identify which one is the correct answer, then what will we do? For example when we take the square root of 557276 then digital sum not identify...

[@subhradeb4800]

This is not a perfect squre root number, this method is only for perfect squre root number

[@christopheroneill7498]

12x12 is 144... so we should choose only square numbers till 10 ?

[@soumendas1208]

if i have to use the division method so what is the use of the short cut trick?????

[@jima683]

great vid... to all the commenters who say this takes too long are wrong... It becomes second nature once you start using it. After a while you will know what numbers go with what and be able to do the calculation instantly. trust me.

[@ravic9495]

Yea it’s true😊

[@ANANDSINGH-sq1tw]

Sir, when sum of digit of question & both the option are same, then which answer should be picked????

[@eterned3237]

Have you got the solution ..?

[@saltywater6258]

dude if you solve them one by one its will be way easier, I started with you but I get lost

[@melissahowlett6364]

I

[@TrangNguyen-rp6zl]

mohammad alsubaie you are right. I am so confused

[@ritikpunse]

Sir can you please solve this question 213444... Sir both are same. 2+1+3+4+4+4 =18(1+8)=9 Ans1 =4 6 2=12= 3 (3×3=9) 2) 4 6 8=18=9(9×9=81=9 So which is correct 🤔 answer...

[@supriyomondal2543]

What will be in case of square root of 1258884? Will the sum of digits work here?

[@nammalwarthiruvengadam2925]

112 2==> 6*6=36=9 112 8 ==> 3*3 = 9 1258884 ==> 9 22*22 =4 84 28*28=7 84 12588 84 Both the tricks do not work. But there is another trick. 1125*1125= 1265625 > 1258884 = 1258884 < 1265625 Hence less number 1122 is the correct answer Some exceptional number you have given. =121 484 484 = 121 488 84 = 125 88 84 = 1258884 1122 is the answer.

[@hrtiwari]

"Wow, I appreciate your teaching method which makes solutions so easy and understandable! You have such an amazing teaching style that breaks down complex problems and makes everything click.

[@Kushal-m2v]

Sir ,Thank you so much . Is this trick for only finding 6 digit numbers or for any given number .I am not getting answer for 18769 sqare root answer with digit sum method

[@Kushal-m2v]

Pls help

[@nammalwarthiruvengadam2925]

18769 13 3 or 13 7 try 135*135 = 18225 18769 > 18225 Hence Larger number 7 is taken. Answer is 137

[@jpicc1113]

can u go over...how did u get 104/4 in the top example?

[@renusharma1129]

Sir is there any exception in this rule when we find the square root of 89491y

[@renusharma1129]

Sorry no is 894916

[@nammalwarthiruvengadam2925]

16 two possibilities are 944 and 946 . Digital sum of both number is 1. In that case , multiply 94 by its next higher number and compare with the first 4 numbers in the given number. 94*95 = 8930 8949 > 8930 Hence 946 which has the greater value is our answer.

[@Invincible-x7y]

Finally understand after searching many KZbin channels.🙏👍 Great sirji 👍

[@sureshaggarwal]

Kindly share the links with your WhatsApp groups and contacts

[@nikhilmadavi8178]

How to calculate √259081..??

[@Prashant_godbole]

but when hre is 7 or 3 as unit digit, then what we can do

[@sravanid8730]

your handwriting is nice you taught excellently thank you very much 😊

[@AshishRawat-bx5sw]

Sir can we use this trick for decimal no. ?

[@RainWAYONYT]

Thank you sir Your tricks are magnificent😇

[@preethishanvi3563]

Sir if root digit is same then what we have to do

[@HappyCheeseBoard-kn7nr]

Sir last m agar 00 ya 01 se khatam hua toh numbers..toh ?

[@sureshaggarwal]

00 ke case mein last digit 0 aur 01 ke case mein not a perfect square

[@HappyCheeseBoard-kn7nr]

@@sureshaggarwal thankyou so much sir 😀🙏

[@atharvplayz1389]

How do you find the square root of an eight-digit number like 34164025?

[@Lottililex]

Thanks for this! I already knew how to get the outer numbers, but just couldn't figure the middle one out.

[@sureshaggarwal]

Great. Do share the links with your WhatsApp groups and contacts

[@rakeshraman4380]

Good Day, Sir. It is Ok. Carry on.

[@Tkkj73]

I tried to find the square root of a number (732736), using the digital sum method you showed us. The results of square roots I got were ( 854), and (856). The digital sums for all the three numbers (732736) , (856) and (854)come to (1). Then how can I certainly tell people the correct answer in a situation like this?

[@nammalwarthiruvengadam2925]

Multiply 85 by its next higher number i.e. 86 85*86=7310; Compare this number with 36 7327 is greater than 7310. Hence greater number 856 is the correct answer.

[@Tkkj73]

@@nammalwarthiruvengadam2925 thank you sir for taking the time to respond to my question.

[@nammalwarthiruvengadam2925]

@@Tkkj73 you are welcome

[@williamwheeler4344]

It would save a few seconds if you cast out 9's to get the digit sum, Ex 298116, Here you can discard the 9 and 8+1. Leaving 2,1,6 =9.

[@manojsahoo8848]

Your lectures are really valuable & helpful 🙏

[@latheefhalwani8496]

6:33 how we can understand which number to choose sir?

[@thaslimbanu5904]

Sir 126736 is perfect square?

[@ganapathyganapathy419]

Super sir. It is very useful for us. Thank you.🙏🙏

[@jageshwarkhobragade]

Thanks sir.. but truly speaking we are using long division method to find digit except at unit place.

[@nilugondarasaveena3178]

Sir, what if the number ends with zero

[@lenlenshenjackfrey8786]

...thank you much i enjoy watching this Math trick ;-) ;-) because i love Math. I wish I had discovered this when i was still in high school..

[@sureshaggarwal]

It's never too late. Do help by sharing the links with your WhatsApp groups and contacts

[@rchakrapani5903]

Sirji the square root of 412164 got 642 and 648... both of them give 9 ...how to select now

[@nammalwarthiruvengadam2925]

64 64*(64+1) = 64*65 = 4160 4121 < 4160 Hence choose lesser value among 642 and 648. Hence 642 is our answer.

[@deepakjayanthi7402]

Sir y we don't apply this in option verification

[@knowledgex-plained1521]

If 2,3,7 or 8 is the last digit of any 6 digit number then how can we solve this because there is no number whose square ending with 2,3,7 or 8

[@sapanaaware2642]

4356 sir what is the answer is 666 if we add this the ans will come 9

[@sarojatvs1]

In the second problem you have made a mistake as 9 x 9 = 18 instead of 81 In this case did not make a diffrence since you were addng the digits

[@vedantpatel1238]

Sir when I do the square root of 819025 it does not work out it only give the first digit and the last digit right but the middle digit is wrong

[@SureshKumar-zt6cx]

Thank you so much sir it is a wonderful trick

[@palaniappab6167]

How identify of square root and not square root

[@manjulakannappan9921]

Sir very superp and useful Thanks a lot sir,,,,,

[@shahanakouser472]

Nice trick but what if the number ends with 2 3 8 or something else not perfect

[@syahidanabilah4714]

sir, for eg 2, isnt 9 x 9 = 81, not 18?

[@teenadhakad1705]

Amazing method to find the square root👍🏻

[@ushashree1232]

How did u choose 4,3,2,8 in the division method..i did not understand

[@shubhamyuvi3530]

Amazing trick finally i found its very helpful Thank you very much sir ❤️❤️🙏🙏

[@nir5276]

Sir your explanation is very good but I didn't get the long division method

[@Shravani.skb99]

sir!how can u calculate square root of 0.002?

[@kassahunachenefe4752]

it is so helpful thank u so much sir

[@pijushmalakar6380]

Sir, what happened in the case of 346921. We get two numbers these are 581 and 589. But both numbers digital sum are equal with the 346921. What will do now.

[@sureshaggarwal]

Will check

[@ken_roberts]

It's 589, because the squared number ends in 21. Here's how I know that... All integers can be written as 50n ± y, where n in an integer and 25 ≥ y ≥ 0. From that, to square an integer, you can do this binomial expansion: (50n ± y)² = 2500n² ± 2 * 50n + y² = 2500n² ± 100n + y² = 100*(25n² ± n) + y² Because of that, the y² term is the only one that has an effect on the tens and unit digits of the square number. In your case, you are taking the square root of a number ending in 21. That means y must be 11 (11² = 121). That means that the number you are squaring must be of the form 50n ± 11. Thus, its last two digits must be 11, 39, 61, or 89. To take advantage of this, you only need to memorize the square numbers up to 25, which isn't too hard. With the exception of numbers divisible by 5, the square of every number from 1 to 25 have a unique 2-digit ending. Those endings, along with 00 and 25, are the *only* possible two-digit endings for a perfect square. While I'd use that this for square roots, I also use that binomial expansion to mentally square 2-5 digit numbers. This mostly a stupid human trick, but it can be leveraged to do other mental arithmetic like multiplying two numbers that aren't the same.

[@nammalwarthiruvengadam2925]

Multiply 58 by it's next higher number i.e. 59. 58*59=3422 Compare this number with 3469 3469 > 3422 Hence choose the higher number among 581 and 589. So 589 is our answer.,

[@balakrishnanirde6842]

Sir, great method to find out the square roots of six digit numbers. But I am having problem with this particular number. Square root of 186624, I get two answers both of which pass all the tests told by you. These are 432 and 438. How to solve such numbers?

[@nammalwarthiruvengadam2925]

Multiply 43 by it's next higher number i.e. 44 43*44=1892. Compare this number with 1866 24. 1866 < 1892 Hence choose the lesser number among 432 and 438

[@nammalwarthiruvengadam2925]

So 432 is our answer

[@minalbhore2673]

please tell How to calculate sqrt of 8 digit number

[@eterned3237]

What about the numbers like 101124.. where finding unit digit is impossible with the method you told..

[@nammalwarthiruvengadam2925]

101124 31 2 or 31 8 Try 315*315= 99225 101124 > 99225 Hence larger number 8 is taken 318*318 = 336*3 = 1008 18*18= 324 324 Answer= 101124

[@2plus2equals59]

I liked your handwriting.

[@weathergenerator]

can you calculate for a 6 digit number when the last number ends with 7 or 3

[@lasie2010]

then that is not a perfect sQuare

[@deepamarylukose4228]

P G Srinivas. Number ends in 3 or 7 is not a perfect square

[@ramachandrannatarajan4234]

Not perfect square

[@sabiramemon1539]

Superb, mind blowing

[@AnishKumar-vu5or]

I got same Single digit number in the case of 243049. Please solve this?

[@nammalwarthiruvengadam2925]

Possible sqrt. are 493 and 497 Digital sum of both the numbers is 7 which matches wit the digital sum of 243049 In that case, multiply 49 by its next higher number i.e. 50 49*50 = 2450. Compare this number with the first 4 digit number i.e 2430 2430 < 2450 Hence the lesser value number among 493 and 497 is our our answer. Our option is thus 493

[@manjusuresh1648]

Sir. the no 9×9 is 81...and you have written as 18....thanks for the vedios uploaded and it is useful well explained

[@zakiazakia725]

when I will solve objective question. then I will try last method mean plus method.just find out which options sequel numbers are match with question. and that is answer 😊😊😊

[@saeedullahyasinzai7715]

Superb. Please continue such tricks more and more

[@topriders5406]

Sir g ya too bato add orr multiple kn krna haa

[@hiteshmittal9836]

hi sir i love u teaching very mush

[@apoorvrider5348]

I have no words for your explanation its owsem

[@VishalYadav-uv5yj]

Very very good trick

[@saeedullahyasinzai7715]

It’s better to solve one question continuously. It will will take less time student can concentrate easily. Any way Well done.

[@nainakataria8383]

Your teaching techniques are superb

[@nazneenkhatoon5564]

Thank you so much Sir😊😊...It's really a Amazing method....🙃🙃

[@raghavendrat8045]

Thank u sir

[@096Vkant]

Can someone check for number 213444? I am getting 2 options 462 & 468. Both of them are satisfying the ans check.

[@abipriya7834]

Sir ,what if a number end with 0

[@deepmajumder3856]

Wow! Fantastic trick.

[@suvrajitbehera4684]

Thanku sir! you are my best favourite teacher ....

[@varaprasadchakri7729]

Sir it's a little bit confusing pls can u make a vdo by solving clearly....🙏🙏🙏🙏🙏

[@蔡明宏-q9w]

Example:337561 By this way，we can guess 581 or 589，But，when we decide which one is correct answer，it fail，because the sum of number to square of 581 or 589 is the same, 25, in this situation, how to judge the correct answer??

[@蔡明宏-q9w]

337561 → 25 → 7 581 → 14 →5 → 25 → 7 589 → 22 →4 → 16 → 7

[@Sonali-i6]

Thank you so much sir..

[@kalyanmondal5022]

Sir, this method not able to find square root of 184041..

[@jima683]

it has a decimal place then.. you should be able to end up with a mixed number

[@felixhofmann8743]

Hey Jim - please try again :) the method worked correctly for me = 429

[@akashpop542]

Fantastic trick sir...

[@pravatidas3996]

Thank you so much sir

[@anithaas5734]

149590 sir there digital number please sir

[@ikil-gb2ju]

Superb sir wow what a trick

[@dharshanam4879]

sir this method is not suitable for all the number .....just make a try for the number squareroot of 978121!!!!

[@RahulSingh-ec8fd]

This method does not work for so many numbers for example 121104. If you try to find the square root using his technique you will end up having either 348 or 342. When you use digital sum of the digits both produce 9.

[@parmeshwarsahu0304]

Find square root of 139129. Just like 337 & 373

[@nammalwarthiruvengadam2925]

34*35 = 1190 1211 > 1190 Hence the number which has greater value i.e. 348 is the our answer.

[@sheetal45678]

Very nice trick sir thnkuu so much 😁😁

[@deekshameena7311]

❤❤❤ amazing thanks 🙏

[@mstv1685]

very easy sir. I like it. so..... supper thanks....💜💜💜💜

[@ambmurtaza8090]

Very nice and easy