Show that there is no positive integer n for which square root (n - 1) + under root (n+ 1) is rational ,sir please proof this without assuming the number is rational number as well as please do by direct proof method without contradiction method, please sir
Temperature is an intensive properly so you cannot add it directly... Suppose you have 20g of ice at 0°C (i.e 32°F) and you mixed another 20g ice( at 0°c ) in it but the final temperature will not change it will remain 0°C (i.e 32°F)😄
The question itself was whether irrational ^irrational is irrational or rational. And in the example, without any proof, sir says √2 is irrational and √2^√2 is irrational. How can you say √2^√2 is irrational without any proof, since the question itself is about addressing the same problem?
Bro √2 ki power anything ( except multiples of 2 ) irrational hi ayegi sirf square karne se ya power 4 ,6 etc karne se irrational rational Banta hai simple irrational number me like √3,√5 etc
Thats valid point. This should be proved. However, here is a kicker. This can still be used to prove that irrational ^ irrational can be rational. Either root(2)^root(2) is rational. In that case, we have a valid example. Else, its irrational. In that case, consider (root(2) ^root(2))^root(2) as in video. And we have a valid example! So we have proven that irrational^irrational can be rational. Now, to prove it can be irrational, we can use the fact(s) that : a) for base and exponent greater than 1, power is a strictly increasing function. b) in any given range, irrationals are uncountably infinite while rationals are countably infinite(outside jee syllabus though)
sqrt(2) is irrational. Suppose sqrt(2)^sqrt(2) is rational. Then, we are done, since we got irrational^irrational=rational. Suppose sqrt(2)^sqrt(2) is irrational. Now, raise the whole thing to the power of sqrt(2) which is irrational. Then, we get sqrt(2)^[sqrt(2)*sqrt(2)]=sqrt(2)^2=2. In this case also, we get irrational^irrational=rational.
Sir mera ye doubt hai ki abhi mai matrix padh raha hu to mene vaha dekha hai ki ()^koi num ab is is num ki bhi power hai jaise apne kiya par app vale case me vo power ke multiply ho gye par yaha par vo ek dusre ki power me rhe Pls ans sir ❤❤
Sir i love your all videos keep uploading the maths intresting videos on this channel..I want to meet with you and I have to share about the beauty of the mathematics..In that 71% i was also present thanks for clearing my doubt sir...From this video i knew that Mathematics is beyond the imagination... Once again thanks sir..
Why chakma!! The most beautiful equation is e^iπ=1. This is most solid example that both can happen. Students who were voting might be busy in watching reels, they don't study seriously.
Sir g mery aik teacher b ap ki trah maths krwaty hain un ka name sur waqar hy wo b buht buht achy teacher hain me un se maths sikha hy or shok b un ki wja se aya hy un ky bad un jesa teacher mujy kbi ni mila lakin ap waqiy main bht achy teacher hain ap bht imandari se prhaty hain alah tallah ap k9 hamesha kamayab krain ameen🇵🇰🇵🇰🇵🇰
Sir one more example
e is irrational
ln2 is irrational
e^ln2 is rational and equal to 2
Sir your 5 min videos give us a lot of basic mathematical knowledge , Thank you for your dedication ❤❤❤
Brawlstars khelne Wale bacche bhi 12th-11th wale channel kyo dekhne lage☠️
@@sleepyfella Abbe mein 11 th pe hu sala profile pe maat ja lol
Check out Bhannat Maths On Instagram (@mybhannatmaths) - bit.ly/MyBhannatMathsInstagram
Sir,
Is one digit smallest number 1 or 0
Please explain
@@koushikpandit8570 0 is smallest one digit WHOLE number and 1 is smallest one digit NATURAL number
Sir please make playlist of calculus
I Have A Lovely Problem In Mathematics You Should Look It Atleast One Time.
The Problem Is
Given- (X)^1/2 + (Y )^1/2 = (5)^1/2
Then y=f(x)=?
Conditiion Is the The Graph should Not Be Changed.
How Is This.
AB+62=9A find ab sir plz answer this question
WHO THINKS AMAN SIR SHOULD BE AWARDED 🎉🎉 ❤❤
Me bro
I think
If i was authorised to do this i will give it my first priority
Yes
Why
Wonderful, u r providing something out of Box, So explain TRANSCEDENTAL also to dear children's. Thankyou.,👍🙂
Same question in in reso module and also in black book but in a diff form
0:24 Sir Fourth option(PW and Sankalp) kaha Gaya 😂😂
We want more videos like this of small concepts but big values,Sir❤
💥💥 alakh sir is legend in physics just like aman sir is legend in math 💫💫
Yes sir keep making videos, especially of olympiad and jee questions
Sir you are god of maths
Show that there is no positive integer n for which square root (n - 1) + under root (n+ 1) is rational ,sir please proof this without assuming the number is rational number as well as please do by direct proof method without contradiction method, please sir
e => irrational
ln(2) => irrational
e^(ln2) = 2 (rational)
e^e = (irrational)
so Maybe rational maybe irrational is the answer
How would you prove e^e is irrational? Are you just assuming?
@@naveenk903 yes
At 1:28, sir yeha aapne pehle hi maan liya (irrational^irrational) irrational hoga to sir ye to contradiction ho gya n
Sir please make a video on-
If 0°C = 32°F then 0°C+0°C = 64°F??
Temperature is an intensive properly so you cannot add it directly...
Suppose you have 20g of ice at 0°C (i.e 32°F) and you mixed another 20g ice( at 0°c ) in it but the final temperature will not change it will remain 0°C (i.e 32°F)😄
@@chotabaccha5816 you are actually adding weight to it i.e 20g more
@@abhinavrajvanshi7847 i think you are in 11th class when you will study thermodynamics you will understand the concept behind it 😀
@@chotabaccha5816 bro I just got in 10th💀
*e^ln(2) = 2* is also one of the example of *(irr.)^(irr.) = (rat.)*
Background music name?? It's amazing if anyone knows reply me
The question itself was whether irrational ^irrational is irrational or rational. And in the example, without any proof, sir says √2 is irrational and √2^√2 is irrational. How can you say √2^√2 is irrational without any proof, since the question itself is about addressing the same problem?
Bro √2 ki power anything ( except multiples of 2 ) irrational hi ayegi sirf square karne se ya power 4 ,6 etc karne se irrational rational Banta hai simple irrational number me like √3,√5 etc
Thats valid point. This should be proved. However, here is a kicker. This can still be used to prove that irrational ^ irrational can be rational. Either root(2)^root(2) is rational. In that case, we have a valid example. Else, its irrational. In that case, consider (root(2) ^root(2))^root(2) as in video. And we have a valid example! So we have proven that irrational^irrational can be rational. Now, to prove it can be irrational, we can use the fact(s) that : a) for base and exponent greater than 1, power is a strictly increasing function. b) in any given range, irrationals are uncountably infinite while rationals are countably infinite(outside jee syllabus though)
@@abhishekagarwal6110 nice perspective
sqrt(2) is irrational. Suppose sqrt(2)^sqrt(2) is rational. Then, we are done, since we got irrational^irrational=rational. Suppose sqrt(2)^sqrt(2) is irrational. Now, raise the whole thing to the power of sqrt(2) which is irrational. Then, we get sqrt(2)^[sqrt(2)*sqrt(2)]=sqrt(2)^2=2. In this case also, we get irrational^irrational=rational.
@@abhishekagarwal6110 I did not understand how you proved that an irrational to the power of an irrational can be irrational. Could you elaborate?
Please explain kr de
In third line
sqrt(2)^sqrt(2)=2 kesay a skta ha
Agar 2 ata ha to 2nd line ma phir 2 Q nhy likha tb to wo b rational hona chahye
another one, e^lnZ , where Z is any integer or rational number, however, e and lnZ both are Transcendental numbers
Thank you sir. ese ese aur bhi question dijiye.ok by sir good night🎉🎉🎉🎉
Sir bring question on 3D geometey complez number pls sirji pls
Definitely sir. I love watching videos like this. Please post more such content 🙏
Sir bring some problems of olympiad mathematics (IOQM)
Where a=2and b = 7
Sir you tells us the basics of maths that's why i like your way to feel the reality ,the comparison of mathematics with real world .Love u sir
Sir
1+2+3+......= (-1/12 ) hota he..
th-cam.com/users/liveomeQNdqQ3Es?feature=share
Sir aapne proof kiya vobhi sahi he lekin..
Ye bhi ho sakta he na..
S= 1+(2+3+4)+(5+6+7)+(8+9+10)+....
S = 1 + 9 + 18 + 27 +.....
S = 1 + 9(1+2+3+...)
S= 1+ 9S
-8S = 1
S= -1/8
Ye kya galat hai ???
Yes sir keep it up.
Sir please say which maths book you read! Big fan sir!!!😮
Sir good questions of adv ki series le aao please
Sir koi number ko 0 se multiply karne se 0 kiu hoti hai?please sir eske uper video banau🙏
Sir golden ratio pe video bana Dijie please
W bengal se hun
Logarithms sir
e^lnx=x
e is irrational and lnx is irrational as long as X is not an exponentiation of e
Thanks for different type of video
A lot of examples can be taken like this. I got it right back then.❤
it's In my notes Thanks to GB sir
.
Sir mera ye doubt hai ki abhi mai matrix padh raha hu to mene vaha dekha hai ki ()^koi num ab is is num ki bhi power hai jaise apne kiya par app vale case me vo power ke multiply ho gye par yaha par vo ek dusre ki power me rhe
Pls ans sir ❤❤
sir vo vector + PnC 2006 walaa iitjee ke question wali video kaha gyi mil nhi rhi hai
Bhut accha logick hi sir ❤❤❤❤
Sir in complex no series 4th and 5th part are missing please help
Nice question and explanation
0:49
Sir please make a video on best book for calculus 🙏🙏
Mathematics is the Queen of Sciences and Arithmetic is the queen of mathematics. Gauss ji ne ye statement di thi, apne isko prove kar diya 👍🔥
Number theory is queen of mathematics
Sir aise questions aur btaya kriye please
Sir aisa mathematics ka concept aur laya kariye sir i love ❤️ these concept ❤❤❤
Yes sir we love these types of videos
Ekdum sir,bohot sahi tha.Hume aur chahiye 🔥🔥🔥
So make another video just like this amazing topic.❤❤❤❤❤
Sir aapke saare 11th aur 12th wale videos IIT ke liye sufficient hai kya theory wise
Log a/b is rational or irrational
Mja aa sir or sir apne thode din phle infinte or ot defined ka kuch post kiya tha us per video chaiye
My method
√2 is irrational
log 5 to the base √2 is irrational
But √2^ log 5 to the base √2 is 5 which is rational
Sir apki video hamesa helpfull hoti hai ✨💝
The Great AMAN SIR 🙏🙏🙏
Thank you so much sir!!!
Sir i love your all videos keep uploading the maths intresting videos on this channel..I want to meet with you and I have to share about the beauty of the mathematics..In that 71% i was also present thanks for clearing my doubt sir...From this video i knew that Mathematics is beyond the imagination...
Once again thanks sir..
Sir , Jee se related jyada video upload kro
Why chakma!! The most beautiful equation is e^iπ=1. This is most solid example that both can happen. Students who were voting might be busy in watching reels, they don't study seriously.
Sir apka Jo sikhane ka dhong bht unique level ka hain...
Sir please make video on *MOCK theta function* ❤🙏🙏🙏🙏🙏pls
Sir harmonic series kisi questions karwa do
π^[ (ln3) ÷ (lnπ) ] from logarithm chapter irrational ki power irrational
Sir please tell us why root x is x raise to 1/2
Sir please tell us why a to the power half is equal to square root of a
Sir . About √3 to the power √2
Sir i gave the wrong answer but i really enjoyed the solution. Please bring more of this conceptual questions
Sir what is i^i
Sir please make a video on e and golden ratio
Sir you are really a hero of math I didn't never saw as the math teacher as you are brillent
Sir please √dx ka integration TH-cam par post kar dijiye🖤✨btw love you sir ji❤️❤️
x hoga
sir how root 2 to the power root 2 is irrational?? #doubt
Sir please solve Ahmeds integral
Sir
I am a person watching your video because my son is studying +1
Could you prove it in a generalized way as we prove √2 is irrational
sir please har lecture ke end main jo apne concept bataya ho uska ek aur question dijiya kere... humme bhi pata chale ki hum kitne panni main hai
Sir mujhe up k pas se ek choti si help chahiye
Sir aap bohot mahnat karte he
Hamare liye
Apko salute he sir
We want more this type of videos
sir e to the i pi equal to -1.
Sir, the proof whether root 2 raised to power root 2 is irrational is needed. With thanks.
Please sir nda maths ka crash course karwa dijiye
Sir calculus pe laao aise videos ki hume pta ho aur foreigners chinese wagarah ko nhi humesha hum aage rahe unse
1/infinity=0 kyu aur kaise hota h n
Sir ji LCM and HCF per video laiye sir please 🙏🏻
Sir ITF equation and substitution method is important for jee
Sir upload this type of interesting videos....😇😇😇
Yes sir we want many more of them
Jee ke batch launch kijiye
Sir aise videos le aate rehna😊
Sir mera sahi tha 🎉🎉🎉❤❤
Ha bahi aisa Or video🎥🎥 chaiye 😊😊❤
Sir g mery aik teacher b ap ki trah maths krwaty hain un ka name sur waqar hy wo b buht buht achy teacher hain me un se maths sikha hy or shok b un ki wja se aya hy un ky bad un jesa teacher mujy kbi ni mila lakin ap waqiy main bht achy teacher hain ap bht imandari se prhaty hain alah tallah ap k9 hamesha kamayab krain ameen🇵🇰🇵🇰🇵🇰
Sir pls take my question : why sometimes 2 and 1/2 means 5/2 and sometimes 2 and 1/2 means 2/2. Plss sir answer
Nice!!!!
Sir aapki AIR 5 kis year mai hai
का सर जी आपने तो चमका ही दिया
LOVE YOU SIR ❤
G ha sir. Hame or vi chhahiye..
From Bangladesh 🇧🇩
(√2)^(log3/log√2) rational
Ofcourse sir pasand aate hain
I really like these type of videos thankyou sir
We want more such type of contant in video for rather than scrolling shorts😑
Thanks sir