Irrational Numbers | Prove That Root 3 is Irrational Number | Irrational Numbers For Class 7/8/9/10

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Let us assume that √3 is a rational no. Now, Let √3=a/b where a and b are co-prime and b is not equals to 0 Squaring both sides (√3)²=(a/b)² 3 =a²/b² 3b²=a² b²=a²/3 a² is divisible by 3 a is also divisible by 3 Let, a=3m for some integer m. √3=3m/b Squaring both sides (√3)²=(3m/b)² 3=9m²/b² 3b²=9m² b²=9m²/3 b²=3m² b²\3=m² b² is divisible by 3 b is also divisible by 3 So, Our assumption that a and b are co prime is wrong. So, √3 is a irrational no. Are bhaisahab PTA ni KB likha tha maine ye shayad 9th m hunga TB filhaal to 12 th m aagya 😅😅

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Assume that √5 is a rational number So,it can be written as √5=p/q were q ≠0 And p and w are co prime Squaring both side•• (√5)²=(p/q)² 5=p²/q² Next,q²5=p² q²=p²/5 P² is divisible by 5 So,P IS ALSO DIVISIBLE BY 5 Let P = 5m for some integers Put the value•• √5=5m/q Squaring both side (√5)²=(5m/q)² Root cancellation 5=5m²/q² 5=25m²/q² q²5=25m² q²=5m q²/5=m² SO q² IS DIVISIBLE BY Hence q is also divisible by five,it proves our assumption wrong So √5 is irrational

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@MalikOooo now see this method taught in my school- Q.prove that 6+√2 is irrational Solve- let 6+√2 is a rational number.so,it can be expressed in the form of a/b.where a and b are positive co-prime integers and b≠0 6+√2 = a/b √2 =a/b -6 √2 = a- 6b/b so,√2 is a rational number But this contradicts the fact that √2 is an irrational number So,our assumption is wrong Therefore,6+√2 is an irrational number

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5:05 proving start

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√3 is an irrational no. Let us assume that √3 is an ration no. And let √3=a/b where A and B are coprime no. And b is not =0 √3= a/b Squaring both sides (√3)²= (a/b)² =b²3=a²/3 a² is divisible by 3 a is divisible by 3 Now let us assume that a/b where a=3m √3=3m/b Squaring both sides (√3)²=(3m/b)² 3=9m/b b²=3m² Sir what about after this I don't know what to do after this.

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After this b2=3m2 3m=b2/3 So b2 is divisible by 3 Then b is also divisible by 3 So these are not coprime no. So our assumption was wrong. So ✓3 is irrational no.

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Show that √5 is irrational. Proof. Let us assume √5 is a rational number. Then as per the definition of rational number √5 can be written in the form of p/q such that p and q are prime numbers and q is greater than 1. Therefore √5 =p/q. On squaring both the sides we get, 5 = p2/q2 ie .5xq = p2/q LHS : 5xq is an integer RHS :p2/q is a rational. LHS =/ RHS This is a contradiction to our assumption. Hence our assumption of √5 a rational number is false. Therefore √5 is irrational.

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100%

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Dear Sir Please Sare Topics Ka Video banao 1. Letter To Editor (Done ✔) 2. Letter For Order (Done ✔) 3. Enquiry Letter (Needed) 4. Complain Letter (Needed) CBSE me keval chaar hi ate hai..!

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Sir home work Q- proof √3 irrational ? Ans-Let assume that √3 is rational and co-prime we can write√3 as p/q form were q is not equal to 0 √3=a/b Squaring both side (√3)²=a²/b² 3=a²/b² 3b²=a² b²=a²/3 3 is divisible by a² 3 is also divisible by a Let a = 3k √3 = 3k/b Now,squaring both side (√3)² = (3k)²/b² 3 = 9k²/b² 3b²=9k² b²=9k²/3 b²=3k² b²/3=k² 3 is divisible by b² 3is also divisible by b The situation is contradiction Our assumption is wrong Hens,√3 is irrational number

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Right 😂😂🤣😄😆🤟

[@itsme-bd2oc]

Bilkul shi kaha 😂😂😂😂😄😄😄😄😄😆😆😆😆😆

[@EduHubAcademy]

Visit our channel for class 10 maths. We covered complete theory and exercise questions. We have started with first chapter so join us and clear ur doubts simultaneously and complete ur syllabus with us. ☺️

[@AmitKumar-ev3uc]

😁😀😂

[@ritikyadav3482]

Bro ye Banda co prime ka example sahi Diya hai Kya ? Please reply

[@NO1TECHMODS]

Kaun kaun link se aya hai like karo😂😂

[@ayush_mishra_AA]

Konsa link

[@manojkumar-py9td]

😂😂

[@ayush_mishra_AA]

@@manojkumar-py9tdbhai konsa link

[@Transformlifebarkha]

Let us assume that √3 is rational number √3 = a/b ( where a and b are co-prime) Squaring both sides, (√3)² = (a/b)² 3 = a²/b² 3b² =a² ------1 b²= a²/3 a² is divisible by 3 a is divisible by 3 Now, a = 3m ( where a is the the value of any integer m ) Putting value of a in equation 1 3b² = (3m)² 3b² = 9 m² b² = 9 m²/3 b² = 3m² b² / 3 = m² b² is divisible by 3 b is divisible by 3 So a and b have 3 as common factor But a and b are co - prime This contradiction has arised due to our wrong assumption . Therefore √ 3 is irrational.

[@amitanshu_ronk3321]

Yahi exam me likh dete toh marks bhi aa jaate.. 🙂

[@khushhalverma3028]

Wah, kya scene h.!

[@krishsahu351]

@Dr. Krishna Ronaldo 😂😂😂😂😂

[@VariableScience]

Really amazing❤

[@priyankapandey793]

4:09

[@harshakampli2760]

Video start hote hi kya swag mein pen catch ki😁😁, but although sir ke teaching skills best hai....

[@45s-shubhamkumarmishra11]

dear sir ki galti.. rational v irrational prove kr doge kzbin.info/www/bejne/gonGZH2rbsagopo

[@Priya_Dixit9055]

Hmm

[@mohdkhaja1438]

Are you mad

[@45s-shubhamkumarmishra11]

@@mohdkhaja1438 go and watch my video then u decide yourself.

[@harshakampli2760]

@@45s-shubhamkumarmishra11 but in that video the no. Is ✓5, if you want to say that dear sir has done a mistake, then prove it with ✓2 or vice versa no.

[@StudyNumber1]

Kiska kiska board exam hai attendance 👍 👍

[@DearSir]

*Is video ko abhi ke abhi share karo* *Nayi videos k liye channel Ko Subscribe karain. Bell icon bhi press karain. Link neeche diya gaya hai* Link: kzbin.info/door/9dyrsYEmD4iGJ8Oz1G5dpw *_Team Dear Sir_*

[@StudyNumber1]

@@DearSir ji gurujii 🙏🙏

[@ShivamKumar-fs3tf]

@@DearSir okay sir

[@prateekpal8251]

@@DearSir thanks sit

[@Fahad-b8m]

My confidence level is very hard because our dear ❣️ sir is here

[@HimanshuSharma-kp7iy]

Best teacher Thank god to send dear sir for our help ♥️

[@anshaharma2383]

(Concept is power)💛love this line.......❤

[@PathFindersAcademy]

kzbin.info/www/bejne/mqinkpd9ft-Verc

[@witchhunterr14]

Power is everything

[@AyushJha-tt6bm]

😮

[@lalimagupta1961]

Sir, my name is Sarthak Gupta. My family and I are giving you full support, just we want you to give a video of class 10th construction

[@Shitla.Maa12345]

Two places A and B have been marked on the given outline map of India. Identify them on the map and write their correct names on the line drawn near them. cing Kets. (2) A. Jallianwala Bagh Incident B. Calling of the Non-Cooperation Movement. (b) On th and suite (i) (ii) (iii) (iv) main that's it Years

[@anbailey319]

आप बहुत अच्छा समझाते हैं।आपके पढ़ाने का तरीका अद्भुत है

[@harshgosai7491]

Love the line concept is power

[@sanjeevmishra5262]

this is a vry impt. question of board exams class 10 tankk u sir

[@DearSir]

*Is video ko abhi ke abhi share karo* *Nayi videos k liye channel Ko Subscribe karain. Bell icon bhi press karain. Link neeche diya gaya hai* Link: kzbin.info/door/9dyrsYEmD4iGJ8Oz1G5dpw *_Team Dear Sir_*

[@sanjeevmishra5262]

@@DearSir mana aap ko already subscribe kr rakha hai

[@thevishalchourasia]

Concept is Power. Love the Way how you teach U r the best 💝✨🤍

[@tgpiyushgaming5718]

You must teach in schools because we need you in school

[@megatechtips8565]

Right

[@Jodx0001]

No agr school m pdayenge to sirf koch bche hi pdh payenge but yhn pr sbb alg-alg states se pdh skte h🙂

[@narendrasinghrajput2594]

right

[@sakshiyadav7601]

@@Jodx0001 you are 10000000% right

[@pramodarya942]

I have seen many videos of prove √2 is irrational etc. But now I get the solution with concept bcz concept is power. THANKS SIR.🙏

[@xyco3198]

Sir exam may ane wala questions Karwa do na mathematics may

[@yxxshvs]

@PrimeSkGamer English sikh le,

[@Flying-Spirit_09]

Sahi hai

[@JitenderKumar-vo4vn]

@PrimeSkGamer 😂😂

[@LaXayGaming]

@PrimeSkGamer 😂😂

[@CHEEMSGAMINGFF]

Khud padh lo

[@chandrashekars8735]

Dear sir youtube and thank like God bless you

[@vanshittyagi5569]

*Dear Sir* Please "DIRECT & INVERSE PROPORTION" Par Video Baniye. Please SIR

[@raftaarsingh7793]

Please Sir

[@factsdunia2637]

Yes Bro U R right >>>> PLEASE SIR .....

[@grbhatt4784]

DearSir🙏 Me class x cbse Sir english ka exam 26 feb 2020 aur math ka 12 march ko ha please sir in dono subject ka pura(separate) video banao please sir👍👌😊☺️😊😢😢😊👍👍👌👍

[@TubebotGaming]

Rational Number - Numbers which are not Irrational. Irrational Number - Numbers which are not rational . I studied hard for my exams 🤓🤓🤓 Going to get above 95% . My Math Teacher will be Proud on me🤣😂🤣😂

[@icy1122]

Mauj kara di

[@fireflyj6940]

All the best bhai

[@TubebotGaming]

@Aman Shamim School Mein 😎

[@adityasharma-jb7yr]

Are wa bete🤣🤣🤣🤣🤣

[@rakshitraj3550]

No you are not able to Get 95% Because you are going to get 101% 😂😂😂

[@prafullakumarpati3122]

Exams are near Nothing is clear No need to fear Because Dear Sir is here ✨

[@Sunny-S0001]

Ok bro, you also pick the beer 🍺 Chilled as you got tear, And your fear comes here But don't be fear , Till dear sir is here

[@iamkyloren4684]

​@@Sunny-S0001😂😂😂

[@sarika7100]

​@@Sunny-S0001🤯😵‍💫

[@Sunny-S0001]

@@sarika7100 🥰👍

[@martinchrist2890]

Are you retarded or something?

[@AnilKumar-oq8zj]

Agar aapke jaise teacher iss earth par rahenge to hum student Aasman par pahuch jayenge matlab we are become a big gentleman

[@rakeshbhandari5093]

OK Google tell me the best sight for maths and English. According to Wikipedia: the best sight for maths and English is dear sir.😎👍🤘

[@DearSir]

*Is video ko abhi ke abhi share karo* *Nayi videos k liye channel Ko Subscribe karain. Bell icon bhi press karain. Link neeche diya gaya hai* Link: kzbin.info/door/9dyrsYEmD4iGJ8Oz1G5dpw *_Team Dear Sir_*

[@aaryankirtania]

Sight nahi site hota hai vo

[@shekharmishra4041]

@Manoj Mishra bhai bhai mishra

[@shaikhzakariya1359]

Dear sir

[@pammisingh2672]

@@DearSir kar diya sir

[@anshika2858]

Gajab he talent hai bhai 2022-23 ke batch walo mein... Kon kon hai jo exam ke ek din pehle padhne aaye hai? 😂😂

[@sadstory384]

Hum 😂

[@sorrybrogaming8408]

Hum 🤣

[@modijangir1982]

Me😂😂😂

[@tammanhasadahasada8751]

Me 😅😂

[@munnamd408]

Kal hai exam 😢

[@Nextofficer5085]

You are not give the solution only you also give the great inspiration

[@Abha920]

Benifits of studying from you: we don't need to study the old books again to clear our old concept,u clear all basic concepts while teaching new concepts 🔥 🔥

[@shreyamishra8996]

my parents do so much of hard work for me i have to study so hard my average is not good but I will score good marks and good percent in finals and I will also top in board examination

[@ritusharma6326]

Let us assume that root 3 is a rational number , then root 3 can be represented as root 3 = a÷b, where a and b are co-prime numbers and where b is not equal to 0 So, Root 3 = a÷b (Root 3)^2 = a^2÷b^2 (squaring both side) Now, 3=a^2÷b^2 3=a^2÷b^2 b^2=a^2÷3----equation 1 So,by equation 1 a^2 is divisible by 3 also,a is also divisible by 3----(by th.-if p is a prime no.and if p is divisible by a^2 then p is also divisible by a where a is a positive integer)-----eqaution 2 Now, Let a=3m,where m is +ve integer A/t/q (root 3)^2=(3m)^2÷b^2 b^2=3m^2 b^2÷3=m^2 b^2 is divisible by 3 then,b is also divisible by 3--- (by equation 1) So,our assumption is wrong that root 3 is rational, hence root 3 is irrational------ ( because we have assumed at the starting of the question that a and b are co-prime no. Which means a and b is only divisible by 1 But at the end of the question a and b are both divisible by 3 other than 1 that is why it is not rational but irrational number) Hope you all like my way of writing the answer.....😉

[@Snxhaa_001]

Nicee

[@pramodchaudhary902]

Nice solving

[@OG_SANATANI0007]

Dear sir ka jalwa hai yaar ye kitne awesome hai I love you dear sir ❤️ Thanku

[@hashiramasenju7582]

3 hrs for exam and i m watching it now. Wish i get full marks 🤞

[@Highlights_ff2]

You will get 0

[@vanshdangwal7700]

@@Highlights_ff2 bhai mauj kardi

[@Highlights_ff2]

Wahi tho 😆😆

[@n.s.gamerz2317]

Good Luck

[@rajaenterprisess]

Really

[@vandanasahu5539]

Sir circle ke proof karne ke video bane digija kyuke sab baccho ko proof bale questions me problem aate jino problem he bo like kare👈👉

[@munassolanki7338]

Muje aate h

[@ffsksgamer5388]

Hii

[@ffsksgamer5388]

Dear sir nice video

[@SanjeevKumar-jt6ri]

3:23 na munna 😂😂

[@PathFindersAcademy]

kzbin.info/www/bejne/mqinkpd9ft-Verc

[@creativeminds3582]

🤣🤣🤣

[@RaJa-kz2px]

😂😂😂😂😂😂😂😂😂

[@RajendraYadav-cs7ze]

Ekdm acchhe se prove Krna aa gya sir Thanks ❤

[@forever785]

I understand very easily . Thank you sir

[@puneet9613]

Guides apne tirange 🇮🇳🇮🇳🇮🇳🇮🇳 ke liye ek like jarur kare

[@Malhanvibes]

Sir isme ek baat galat h pahle 2 page bhardo fir last me Apne AAP Ko dosi thahrao ki humne galat thinking ki 😅😅😅 full marks milenge 😅😅😅😂

[@45s-shubhamkumarmishra11]

Dear sir ki galti..ration ko v irrational prove kr doge kzbin.info/www/bejne/gonGZH2rbsagopo

[@anshusharma912]

Had H yaar

[@npashur8251]

@@anshusharma912 nh 😊😋😍

[@dragongamingpubg786lite7]

Yes you are right had ho gyi yaar

[@45s-shubhamkumarmishra11]

@@Mandeep_74 10th standard me ho... Or tamiz ab tk nhi sikhe...... Galat to galt hi hota hai....jaao ja kr search kro achhe se....

[@mbrao4556]

Prove that Root5 is a irrational number Let us assum that root5 is a rational number Now root5 is in from of a/b , a&b is a integers , b is not equal to 0 , a&b is a co-prime Squaring both sides Root5 = a/b (Root5)² = (a/b)² 5 = a²/b² 5b² = a² a² = 5b² a² is divisible by 5 So a is also divisible by 5 a = 5c a² = 25c² 5b² = 25c² b² = 5c² b² is divisible by 5 So b is also divisible by 5 5 is divisible by both a & b So a & b is irrational number Hence, Proved Root5 is a irrational Thank you sir 🙏 To solving my doubt's

[@GamingwithJass]

❤❤

[@PREMIUMFAITH_07]

Today is my exam and I am watching dear sir

[@aditipal1923]

Your classes are really amazing....thnx u cleared all my doubts..thnku sir😇

[@Kathayatayush]

Hlo

[@gungun331]

Good morning 🌄🌅 sir my self Jaya shree,I always follow your all videos. My all doubt 🧐 should be cleared. THQ sir for your this type of reading process 🙏🙏🙏

[@nikhilyadav8477]

Hii

[@amazing__art]

Hy

[@amazing__art]

Hello

[@nikhilyadav8477]

Bolo

[@orio4155]

English left the chat...

[@RGSEssential_Class10]

बहुत बढ़िया सलाह दिया आपने , बच्चो को सही दिशा दिखाने के लिए बहुत सराहना।

[@fanta1129]

SIR AP MATHS KE SATH CATCH KI BHI PRACTIS KARTE HO ?

[@argaming1674-AP]

Ha bhai mere pass aao catch practice kara ta hu

[@b.k8926]

🤣🤣🤣🤣

[@pravat990]

@hacker ka baap yes ur absolutely right

[@pravat990]

@@argaming1674-AP shi h

[@argaming1674-AP]

@@pravat990 ha sahi hai

[@SujalSingh2006]

Concept is power, but questions came in exam are more powerfull😂😂

[@chintan99810]

Absolutely right🥺

[@ankitnegi1631]

Comedy?

[@gauripandey2428]

Exactly

[@sauravsharma2704]

As comparison to Allen teachers of maths he is best🎉🎉❤ those who are agree to this like the comment

[@Ērrõr_MS_07]

Sir you are best and now i finally got this concept.

[@kunal_Gupta_07]

Jab tak hmare sath dear sir h tab tak hme koi app ki jarurat nhi,,😍😍

[@DearSir]

*Is video ko abhi ke abhi share karo* *Nayi videos k liye channel Ko Subscribe karain. Bell icon bhi press karain. Link neeche diya gaya hai* Link: kzbin.info/door/9dyrsYEmD4iGJ8Oz1G5dpw *_Team Dear Sir_*

[@vijaytiwari1024]

0:38 anyone noticed how he catched the marker

[@VinayakCoachingPalsana]

Ya

[@kamleshgupta6682]

Sahi Kaha

[@theworldoffactsandspace1039]

Hmm

[@vijaytiwari1024]

@@theworldoffactsandspace1039 🤷🤦ab KZbin ko to. Chodh do, yha bhi 'hmm' 🤦

[@Cocxy69]

@@vijaytiwari1024 huh?

[@darkeeidea]

5:23 se start karo save your time

[@sanjnamalviya5624]

The top video on the screen👍👍👍👍👍👍👍👍👍👍👍👍👍👍👍