Math Olympiad | A Nice Radical Problem | VIJAY Maths

[@vijaymaths5483]

Correction Note : At 15:56 (14)^2 = 196 instead of 169.
Final Answer is 11596.
Apology for the mistake 🙏

[@RyanLewis-Johnson-wq6xs]

@@vijaymaths5483 I totally understand.

[@RyanLewis-Johnson-wq6xs]

14^2=196 not 169

[@prabhushettysangame6601]

Yes you are right ✅️

[@vijaymaths5483]

Sorry, the correct answer will be 11596

[@raghvendrasingh1289]

x^4+(x+y)^4+y^4 = 2(x^4+2x^3y+3x^2y^2+2xy^3+y^4) = 2(x^2+xy+y^2)^2
hence quantity under square root is
2(196+1400+10000)^2
= 2(11596)^2
Answer is
(1/√2)(√2)11596 = 11596

[@dahyabhaipatel1153]

14^2=196

[@enriqueprado5188]

Error 11596

[@RyanLewis-Johnson-wq6xs]

4^(-1/4)Sqrt[14^4+114^4+100^4]=11596 Input
4^(-1/4) sqrt(14^4 + 114^4 + 100^4) = 11596
Result
True
Logarithmic form
-log(4, 4)/4 + log(4, sqrt(14^4 + 114^4 + 100^4)) = log(4, 11596)

[@ravikishansingh3357]

Last Wrong Addition

[@vijaymaths5483]

Sorry, the correct answer will be 11596 not 11569