I respect ramanujan ❤❤
breakdown 3 is √9 .Woh equation pura root 9 ka breakdown hai √9 = 3 right Now √9 = √ 1 + 8 Now break down 8 √9 = √ 1 + 2 x 4 Now 4 can be written as root 16 √9 = 1 + 2 √16 ( As 4 = √16 ) = √ 1 + 2 √1 + 15 (as 16 = 1+ 15) = √ 1 + 2√1 + 3.5 ( 15 = 3 x 5) = √ 1 + 2√1 + 3.√25 ( As 5 = √25) Now this keeps going and that's exactly the question.
Well you can suppose 1 + 2 as a and it will give you three when you solve
We can solve like this in 20 seconds Let √1+2√1+3√1+4√1.......♾️ =x (Squaring both sides) (x)^2=(√1+2)^2√1+3√1+4√1....... ♾️ x^2=3√1+3√1+4√1...... ♾️ (As we have assumed that X = √1+2√1+3√1+4√1+........ ♾️ then X is also =√1+3√1+4√1+....... ♾️) X^2=3x X×X=3x X=3x/x X=3
Ramanujan sir ke jo khoj thi aaj science ke kis topics pe use hota h koi detail mein btayega please?
Sir, explanation dijiye na 🙏🏻 So that we can learn it
Thats not how its done., Whats shown here is an observation or proof of the equation behind it....actially its solved like this Here its of form-xn=√(1+n.x(n+1)) ........(eq-1) To find its solution we try xn=an+b. .....(eq-2) this equation satisfies when a=1, b=1 Therfore substituting a and b in eq 2 , xn=n+1 U can put it in question equation to check LHS=RHS, substituting xn=n+1 in equation 1 LHS=(n+1)² RHS=1+n.(n+1+1)=1+n.(n+2)=1+n²+2n=(n+1)²... Which is of form (a+b)²=a²+b²+2ab Therefore, RHS=(n+1)²=(n+1)²=LHS Therefore Sol. of equation =n+1 , where n=1st term after root under 1 plus Using it here ,here n=2,n+1=3(answer) Another example-√(1+5√(1+6√(1+7.......)))... Here n=5 sol=n+1=6(answer) If anyone understands it can try this- √(1+16√(1+17√(1+18...... )))...
Can anyone explain pls? How
Kuch naaye sawaal layiye.. Ye kayi youtubers baata chuke hai pahlese...
Ramanujan kis Umar se naaye naaye equations bnane lage the??
Meanwhile jee aspirants solving this in 1 minute 😎😎
ek Ramanujan ko leke kab tak dhindora peetenge? Ab soncho America ya Britain aisa kahe tou unke paas kitne Ramanujan nikal ayenge. Ramanujan ek apwaad tha… bole tou fluke. Not enough to prove Indians are great scientists and mathematicians.
@shagyyboygaming5926