Proof Of Irrationality | Prove √2 is Irrational | Class 10 Maths | Shobhit Nirwan | Nexttoppers

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  • Опубликовано: 25 дек 2024
  • In this video, Shobhit Bhaiya takes you through a detailed and easy-to-understand proof that √2 is an irrational number.
    Explore the interesting realm of irrational numbers with us, and discover the systematic method to prove that √2 cannot be represented as a simple fraction.
    Topics covered in the video
    Class 10th Maths
    class 10 Real Numbers
    Class 10th Maths Ncert
    how to start class 10
    class 10 Maths revision
    class 10 maths tricks
    #class10 #motivation #class10th #class9 #class10maths #prashantkirad #digrajsinghrajput #shobhitnirwan

Комментарии • 877

  • @savageX-zs5qy
    @savageX-zs5qy 4 месяца назад +671

    Like for 95+ in board exam ❌
    Study for 95+ in board exam ✅
    Stop scrolling and 💀 Study now

  • @KhizrahKhan
    @KhizrahKhan 5 месяцев назад +340

    Respect button for shobhit bhaiya

    • @Samarthkn811
      @Samarthkn811 3 месяца назад +2

      Respect ki koi button kijarurat nai hai respect dedo bas😢

  • @yeahpossible7940
    @yeahpossible7940 5 месяцев назад +227

    1like=100% in 10th ❤

  • @theROAR-8909
    @theROAR-8909 5 месяцев назад +50

    Sir aapke jessa teacher mene aaj tak nhi dekha aap hamari problem ko study karte ho aur phir aap use solve karte ho salute sir

  • @shadowfight2specialedition89
    @shadowfight2specialedition89 5 месяцев назад +133

    Nothing is clear
    Exam is near
    What do you fear
    When shobit bhaiya is here❤❤
    Likes ß and comment for shobit bhaiya👍🏻👍🏻👍🏻👍🏻👍🏻🎉❤️😊🥳👍🏻😊❤️😂🎉❤️👍🏻🥳🥳❤️😂🎉

  • @Spaxytchannel
    @Spaxytchannel 5 месяцев назад +117

    MAA KASAM JISNA BHI LIKE NHI KIYA VO PAKKA FAIL HOGA ( DON'T TAKE RISK 😅 )

    • @piyushchudasama488
      @piyushchudasama488 2 месяца назад +2

      Chup be

    • @Goku-js6
      @Goku-js6 2 месяца назад +2

      Nahi yaar 😅

    • @Sarvani_1111
      @Sarvani_1111 14 дней назад +1

      Koi na koi toh nikkamma hota hi hai na bhaiya ki video mai jo ye line mare ga hi 💀🤡 koi aur kaam dhanda nahi milta kya🤌🏻

    • @star-shubham
      @star-shubham 8 дней назад

      Abe bhai jhoot mai gali sun jayega

  • @yaduveersingh3700
    @yaduveersingh3700 5 месяцев назад +75

    Board ki kasam jisne subscribe nhi kiya wo exam me fail and percentage in board is 10% 😅😅☠️☠️☠️💀

    • @SW_Anurag_69
      @SW_Anurag_69 13 дней назад

      Faltu ke comment krn se bdiya jake kuch pad lo

  • @parvindersingh4545
    @parvindersingh4545 3 месяца назад +99

    Math me 99.9% aayenge like kro bhai❤

  • @CONNECT_PRITAM_0210
    @CONNECT_PRITAM_0210 4 месяца назад +75

    Let √2 be irrational
    Our assumption was correct
    Hence, √2 is irrational...

  • @adonis1308
    @adonis1308 5 месяцев назад +26

    easy tarika : let √ 3 be irrational. Hence, Proved

  • @bassangoudarramthirth938
    @bassangoudarramthirth938 4 месяца назад +20

    Most favourite teacher in India

  • @vidhyasecurityforcehouseke6336
    @vidhyasecurityforcehouseke6336 2 месяца назад +1

    00:03 Explanation of rational numbers in the form of p/q
    01:04 Understanding Irrational Numbers and Rational Numbers
    02:57 Proof of irrationality of √2 through division
    03:51 Proof of irrationality of √2 and proof by contradiction
    05:35 Proof of irrationality for √2 explained with squaring both sides
    06:26 Understanding the division process of a Q integer
    08:32 Explaining the proof of irrationality of square root of 2.
    09:30 Proof of irrationality using a common factor
    11:20 Explanation of division and deriving equations
    12:14 Mistake in assuming √2 is rational led to contradiction
    13:55 Explaining the rationality of a number using division
    14:59 Explanation of rational and irrational numbers.
    17:07 Understanding the concept of irrational numbers in mathematics
    17:58 Proving irrationality of a number involves multiple steps

  • @gameon2508
    @gameon2508 5 месяцев назад +78

    4:29 shobhit bhaiyaop

    • @abhayrajsingh2662
      @abhayrajsingh2662 5 месяцев назад +1

      ​@BossGamingOfficial-YTtu thoda bkl hai kya

  • @anurag_singh23542
    @anurag_singh23542 3 месяца назад +10

    Shobhit bhaiya is best teacher of mathematics

  • @sanjaykanda154
    @sanjaykanda154 5 месяцев назад +13

    Great explanation sir 💯👍👍

  • @Divyabaslas
    @Divyabaslas 5 месяцев назад +38

    5:12 shobhitbhaiyaop

    • @SpecialFoodie780
      @SpecialFoodie780 2 месяца назад

      ❤❤

    • @SpecialFoodie780
      @SpecialFoodie780 2 месяца назад

      ❤❤

    • @SpecialFoodie780
      @SpecialFoodie780 2 месяца назад

      🎉🎉❤❤❤❤❤❤❤
      ❤❤❤❤❤❤❤❤❤❤❤❤❤❤
      ❤❤❤❤❤❤❤
      ❤❤❤❤❤❤❤❤❤
      ❤❤❤❤❤❤❤❤❤❤❤❤

  • @RajaramKisku-dl8zp
    @RajaramKisku-dl8zp 2 месяца назад +4

    Shobhit bhai is funtastic, amazing, dynamic teacher

  • @AmanKumar-o9g
    @AmanKumar-o9g 5 месяцев назад +6

    17:57 Thanks sir

  • @samratsonu
    @samratsonu Месяц назад +1

    3:48 p should be prime no,otherwise it's not valid for all real no, ex-(6)² is divisible by 4 but 6 is not divisible by 4.

  • @Vivaanpohaal669
    @Vivaanpohaal669 5 месяцев назад +20

    As a senior i confirmed that this is the question which will definitely come in your boards for sure 😂👍🏻the mosttttt imp questions it is

  • @SanaSohrab-ri1mq
    @SanaSohrab-ri1mq 5 месяцев назад +16

    Imagine kro..agar ye tino bhaiyya and sir hamare school padhane aa gye toh😳😍

  • @debamonisharma1261
    @debamonisharma1261 2 месяца назад +4

    0:25 .4/2 is rational because it can be written as 2/1

  • @MrBrilliant-pro
    @MrBrilliant-pro 5 месяцев назад +14

    As a former student of Abhay batch (first batch of Next Toppers) who has forgotten the proof, I'm here again with Shobhit bhaiya.

    • @roshnimishra9861
      @roshnimishra9861 2 месяца назад +1

      Bhai abhay batch ka telegram channel bata de

  • @divyanshsoni2196
    @divyanshsoni2196 Месяц назад +5

    9:54 Phir bhi glt h .. arose nhi "arisen" hoga.. (V3)😅

  • @Artoholic_Devanshi
    @Artoholic_Devanshi 5 месяцев назад +9

    Really needed this right now from Tomorrow periodic assessment tests were starting and tomorrow is my maths test ❤️😊 Thank you very much!!!!!

  • @ManmohanRay-rx4cn
    @ManmohanRay-rx4cn 4 месяца назад +3

    If divide p then a²
    Then p divide a also (where p is prime number).
    Because 4 divide 6² and 4 not divide 6 because 4 (p) is not prime 😮😮😮

  • @ADVITSANDILYA
    @ADVITSANDILYA 5 месяцев назад +7

    7:07 wah kya karigari hai wah masaallah ❌. masala ✔️✔️

    • @Deene_nabi
      @Deene_nabi 4 месяца назад +2

      Always mashaallah ✔️✔️

  • @Aaradhya_1657
    @Aaradhya_1657 5 месяцев назад +18

    From Jammu ❤
    Best teacher in the world ❤

  • @Nohate07-ehh
    @Nohate07-ehh 5 месяцев назад +10

    Sherrrrrrrrrrrrrrrrrrr shobhit bhaiya on top

  • @PranshuRanjan-l6j
    @PranshuRanjan-l6j 3 месяца назад +2

    Thank you sir for easy explanation

  • @AvnikaThakur
    @AvnikaThakur 10 дней назад +1

    He is the best teacher .❤ I really appreciate your work sir🥰 . Thankyou for being a great teacher .🎉 You are an amazing teacher ❤ and incredible teacher 😊

  • @AkshatSinghkhaira019
    @AkshatSinghkhaira019 5 месяцев назад +2

    Sir you are great because you are helping others also who has not taken the arambh Bach

  • @Right2Code-09
    @Right2Code-09 4 месяца назад +14

    09:53 Angrez Bacche Hote Hai 😂

  • @applegaming3814
    @applegaming3814 5 месяцев назад +9

    Thanks shobhit bhaiya kal mere PT-1 hai maths ka it helped me lot to understand this topic

  • @user-wv1ic1vr5h
    @user-wv1ic1vr5h 2 месяца назад

    Bohot acha samjhaya 👍👍👍

  • @Pratham_suryavanshi18
    @Pratham_suryavanshi18 3 месяца назад +1

    Thank you bhaiya....❤💞

  • @JASMINEE-v9d
    @JASMINEE-v9d 5 месяцев назад +4

    Shobhit bhaiya op🎉

  • @Offc-priyanshu
    @Offc-priyanshu 5 месяцев назад +18

    Who are from aarambh batch ❤

  • @TM_1730
    @TM_1730 5 месяцев назад +16

    12:44 shobhitbhaiyaop

  • @anuragpro2009.
    @anuragpro2009. 5 месяцев назад +4

    ONE DAY BEFORE EXAM THANKS WISH ME BEST OF LUCK

  • @vijaylaxmi6720
    @vijaylaxmi6720 5 месяцев назад +4

    Let us also show him our potential

  • @AnokhiBarnwal
    @AnokhiBarnwal 5 месяцев назад +20

    Thank you so much for your help this help all students very much.Also thank uhh for your support. Apke rehte hmlog jarur acha score krege(Aim 100/100 in maths)❤🎉😊

    • @mansur-islam200
      @mansur-islam200 5 месяцев назад +1

      Ad math me

    • @armanbhagat4668
      @armanbhagat4668 Месяц назад +1

      Difficult question aate hai yrrr is kiye mera 66/80 aaya tha

    • @AnokhiBarnwal
      @AnokhiBarnwal Месяц назад

      @armanbhagat4668 ohh mere toh 76/80 aaya tha

    • @armanbhagat4668
      @armanbhagat4668 Месяц назад

      Out of syllabus aaya tha wo v 5 marks mai sir ne 2 marks sabko diye thei

  • @URXMATHS
    @URXMATHS 5 месяцев назад +3

    Shobhit bahiya on top 🔝

  • @Swastik5099
    @Swastik5099 2 месяца назад

    Love for shobbit bhaiya , digraj sir and my personal favourite PRASHANT BHAIYA ❤❤

  • @siddhiiii2013
    @siddhiiii2013 26 дней назад +2

    4:27 SHOBITBHAIYAOP🎉

  • @kartikyalagi4975
    @kartikyalagi4975 5 месяцев назад +5

    SHOBHITTTTTT BHAIYAAAAAAAAAAA OPPPPPPPPPPPPPPPPPPPPPPPPP

  • @mamtachoudhary2784
    @mamtachoudhary2784 5 месяцев назад +2

    Sir best teacher button

  • @mastrajmeena3037
    @mastrajmeena3037 5 месяцев назад +1

    Nice explanation 👍🏻👍🏻

  • @Prashant_924
    @Prashant_924 5 месяцев назад +19

    Bagavan kare abhi ke 90+ %bane ❤❤

  • @The_Ayush1211
    @The_Ayush1211 4 месяца назад +6

    Bhayyiya rapid rivision ka content laaoo ❤️❤️❤️

  • @studiesonly-wo8yy
    @studiesonly-wo8yy 5 месяцев назад +1

    Shobit bhiya Op ❤❤❤❤❤❤❤❤❤❤

  • @AbhayAnand-jv1nh
    @AbhayAnand-jv1nh 3 месяца назад +3

    Bhaiya
    Ek video aur IRRATIONALITY pe daal dijiye jaise
    1/√2
    2 - √3/2
    7√5
    3 + √7/√5
    Etc.
    Plz bhaiya 🙏🙏🙏🙏🙏🙏

  • @Anand-yadav841
    @Anand-yadav841 5 месяцев назад +1

    Shobhit Bhaiya OP ❤❤

  • @PrincePatel-dr6xg
    @PrincePatel-dr6xg 5 месяцев назад +5

    5:05 shobhit bhaiya op

  • @shivam__chauhan69
    @shivam__chauhan69 5 месяцев назад +2120

    Boards ki kasam jisne subscribe nhi Kiya wo exam me Fail 😂😂 (Don't Take Risk) 💀☠️

    • @SAKSHIRAI_72722
      @SAKSHIRAI_72722 5 месяцев назад +30

      Aa gye muh utha ke 😂

    • @sumanjitkaur-wm6xl
      @sumanjitkaur-wm6xl 5 месяцев назад

      Bheekh mangne ka treeka thora cazual hai 😂 bhikhari 😂😂

    • @Nextoppers23-p6w
      @Nextoppers23-p6w 5 месяцев назад +9

      Ho Gaye shuru

    • @Nextoppers23-p6w
      @Nextoppers23-p6w 5 месяцев назад +12

      Bhai mt kiya Kro khi lene ke dene n pdjayee😂😂😂😂

    • @aniketoffical22.
      @aniketoffical22. 5 месяцев назад +9

      Ye har jagh comment karta hai 😂😂

  • @Its_mehh_y
    @Its_mehh_y 27 дней назад +3

    16:35 exam m itna likh k aa skte h?

    • @siddhiiii2013
      @siddhiiii2013 24 дня назад

      yes

    • @PIYUSHSHUKLA-p7x
      @PIYUSHSHUKLA-p7x 15 дней назад

      To kya laga PAPER KHALI RAKHNE KA PLAN THA KYA 😂

    • @Its_mehh_y
      @Its_mehh_y 15 дней назад

      @@PIYUSHSHUKLA-p7x Haan tha to

    • @Its_mehh_y
      @Its_mehh_y День назад

      ​@@PIYUSHSHUKLA-p7xaby kya pucha h vo dkh

  • @NargisMalik-od7xs
    @NargisMalik-od7xs 4 месяца назад

    From jammu
    Your teaching is best sir ❤

  • @shashibajpai-mb6vn
    @shashibajpai-mb6vn 5 месяцев назад +1

    Bhaiya mera kal hi paper h aur thanku for this vedio which i really needed ❤

  • @JANNAT-d3t
    @JANNAT-d3t 12 дней назад +1

    Shobhit bhayia op😂❤

  • @Tushardrawingarts81
    @Tushardrawingarts81 5 месяцев назад +2

    Shobhitbhaiyaop ❤

  • @manshisingh3791-f7d
    @manshisingh3791-f7d Месяц назад +1

    I hope we all fulfilled shobhit bhaiya and our parents dream ❤️❤️😍🪷

  • @GouthamVilla
    @GouthamVilla 5 месяцев назад +14

    Bhaiya tomorrow exam u helped me a lot thank u so much for ur help shobhit(OGGY) Bhaiya

  • @BRIGHTFUTURECOACHING-oe7vi
    @BRIGHTFUTURECOACHING-oe7vi 3 месяца назад

    Nice teaching style.

  • @ManojKushwaha-ly4ri
    @ManojKushwaha-ly4ri 5 месяцев назад +2

    Wizard of Maths is SHOBHITBHAIYAOP 👨‍🏫❤❤❤💗💗💗💗💞💞💞💕💕💕💕💕

  • @KlgecoliteOverseas
    @KlgecoliteOverseas 5 месяцев назад

    SHOBHIT BHAIYA OP please aasa videos class 9 ka liya bhi lao
    Sir hamera school ma class 9 ma bhi ya sab karaya jata ha thank you aapna hamera liya bhi bana diya

  • @Studyuu-p1l
    @Studyuu-p1l 5 месяцев назад +1

    Shobit bhaiyaa op 👍

  • @sabeensheik
    @sabeensheik 3 месяца назад

    Bhai finally abb samajh mai aya hai yeh concept I was literally struggling before abb toh rat gaya hai literally

  • @Ishagiri-in8bx
    @Ishagiri-in8bx 5 месяцев назад +7

    I will make my parents proud

  • @Sankarnayak-od1fd
    @Sankarnayak-od1fd 5 месяцев назад +1

    Thank you shobhit bhaiya for this video
    This will help in my pt exam

  • @MansviPawar-n8k
    @MansviPawar-n8k 4 месяца назад +1

    Shobhitbhaiyaop!!!❤

  • @subhajitdebnath2103
    @subhajitdebnath2103 5 месяцев назад

    God of math 🎉🎉🎉🎉
    ❤❤❤❤❤❤❤❤❤

  • @Anshikashubh34
    @Anshikashubh34 5 месяцев назад

    Hello shobhit bhaiya you are best maths teacher❤😊

  • @Kam1a-mk5jq
    @Kam1a-mk5jq 3 месяца назад

    Shobhit Bhaiya OP!!🔥

  • @Nextoppers23-p6w
    @Nextoppers23-p6w 5 месяцев назад +2

    ❤❤❤ love u bhaiya

  • @sad_potato9617
    @sad_potato9617 3 месяца назад +2

    Repeat the same process for what u did to "√2" for a no. Say "2". assuming "2" as rational and write 2 = p/q and do all the same steps and you'll probe that "2" is irrational, how does this propf make any sense? Any no. You take whether rational or irrational, this method proves it to be irrational, when i asked by teacher anout this she said that this proof is only for irrational no.s but if thats the case then how is it even a proof if we have to yake an irrational no.

    • @MrBrilliant-pro
      @MrBrilliant-pro 2 месяца назад

      @@sad_potato9617 In class 10th I also tried to prove it for 2. It didn't end up in similar contradictions. If you want, check it out step by step.

    • @MrBrilliant-pro
      @MrBrilliant-pro 2 месяца назад

      @@sad_potato9617 In class 10th I also tried to prove it for 2. It didn't end up in similar contradictions. If you want, check it out step by step.

    • @MrBrilliant-pro
      @MrBrilliant-pro 2 месяца назад

      @@sad_potato9617 In class 10th I also tried to prove it for 2. It didn't end up in similar contradictions. If you want, check it out step by step. If your teacher said that she probably doesn't know herself what she's teaching unfortunately.

  • @nishantnagar755
    @nishantnagar755 2 месяца назад

    SHOBHIT BHAIYA OP 🔥

  • @someone_7382
    @someone_7382 4 месяца назад +4

    9:10 bhaiya aise to √4 bhi irrational prove ho Jayga isi method se
    Please explain

    • @MrBrilliant-pro
      @MrBrilliant-pro 2 месяца назад

      @@someone_7382 Nahin hoga. Wo contradictions hi nahin ayenge.

    • @someone_7382
      @someone_7382 2 месяца назад

      @@MrBrilliant-pro Try krke dekh to maine try kiya tabhi bol rha hu

    • @MrBrilliant-pro
      @MrBrilliant-pro 2 месяца назад

      @@someone_7382 Maine pichhle saal hi try kar liya tha 10th mein

  • @kaushalsingh2750
    @kaushalsingh2750 3 месяца назад

    Shobhitbhaiya OP ❤❤

  • @munnushukla7053
    @munnushukla7053 5 месяцев назад +1

    ShobhitBhaiyaop🎉🎉🎉🎉

  • @rajatpandey-zc6uj
    @rajatpandey-zc6uj 4 месяца назад

    Shobhit bhaiyaop 😊

  • @radhakumari630
    @radhakumari630 5 месяцев назад

    "Shobhitbhaiyaop" yes we want these types videos🥺🌼

  • @Arqaz_khan0
    @Arqaz_khan0 4 месяца назад +1

    Thank you sir

  • @BiswajitDas-ex7nr
    @BiswajitDas-ex7nr 2 месяца назад

    Shobhit bhaiya op😮

  • @ShilaYadav-t9e
    @ShilaYadav-t9e 5 месяцев назад +6

    Kaun kaun manata hai ki sobhit bhaiya is the god father of math vah like kare

  • @sakshammorna2153
    @sakshammorna2153 5 месяцев назад +1

    Thank you bhaiya 💝😊

  • @hypergaming86978
    @hypergaming86978 3 месяца назад

    Sir jitna mujhe school sir ke padhane se samajh nahin aata usse kai jada mujhe ghar pe apke padhane se samajh aata hain thankyou so much sir

    • @Snehajha-h
      @Snehajha-h 3 месяца назад +1

      mujhe bhi school ka nhi ata h bilkul bhii khud se pdhu tbhi ata h

  • @KhushbuGour-h7z
    @KhushbuGour-h7z 5 месяцев назад +1

    👌 shobhitbhaiyaop

  • @HarshShelar-j4i
    @HarshShelar-j4i 5 месяцев назад

    Shobhit bhaiya Ap ki long video daalona❤❤😊😊

  • @neelakshimishra36
    @neelakshimishra36 5 месяцев назад

    shobhitbhaiyaaaaop❤❤😊😊

  • @namanjha1105
    @namanjha1105 5 месяцев назад

    SHOBHITBHAIYA OP ... THNX BHAIYA FOR THIS .... 😍🥰❤💖💓

  • @KlgecoliteOverseas
    @KlgecoliteOverseas 5 месяцев назад

    SHOBHIT BHAIYA OP please aasa videos class 9 ka liya bhi lao

  • @MadeForStudy121
    @MadeForStudy121 5 месяцев назад +1

    😅 4:50 shobhitbhaiyaop

  • @Samiksharijal246
    @Samiksharijal246 4 месяца назад

    4:26 shobhit bhaiya op🎉

  • @yeheapnacraft4068
    @yeheapnacraft4068 5 месяцев назад

    Shohbit bhaiya op❤❤❤

  • @Techbox-7
    @Techbox-7 3 месяца назад +2

    Bhaiya Prove Od Irrationality par long video lao !

  • @NishikantYadav-oo1gk
    @NishikantYadav-oo1gk 5 месяцев назад

    Next tooper jai ho 😊😊😊😊😊

  • @Kaushikjio
    @Kaushikjio 5 месяцев назад +2

    13:06 Shobhit bhaiya op

  • @KiaraAdvani-b3j
    @KiaraAdvani-b3j 6 дней назад

    Maths kai bagwaan ✅

  • @vardankaushsl2403
    @vardankaushsl2403 18 дней назад

    Make more video like this

  • @DevyanshChoudhary
    @DevyanshChoudhary 5 месяцев назад

    bhaiya you are the best teacher for a visually impaired child, because I understood this concept very well