Nice Square Root Simplification | Math Olympiad

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International Math Olympiad
Algebra Simplification
Nice Square Root Math Simplification
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[@thelifeclass]

🎉

[@Mikhail_Senin]

Как-то слишком просто для олимпиады. Разве что олимпиада очень младшей школы.

[@Al-Capone]

Это и я так умею...

[@prollysine]

x^(1/2)*x^(2/2)=x^(3/2) , x^(3/2*1/2)=x^(3/4) , x^(3/4)*x^(4/4)=x^(7/4) , x^(7/4*1/2)=x^(7/8) , x^(7/8)*x^(8/8)=x^(15/8) ,
x^(15/8*1/2)=x^(15/16) , -> x^(15/16)=2^(1/3) , (15/16)*lnx=(1/3)*ln2 , lnx=(16/15)*(1/3)*ln2 , lnx=16*ln2)/45 ,
x=e^(16*ln2/45) , x=~ 1.27948 , test , 1.27948^(1/2)*1,27848=1.44727 , 1.44727^(1/2)*1.27948=1.53924 ,
1.53942^(1/2)*1.27948=1.5874 , x=1.5874^(1/2) , x=~ 1.25992 , -> 2(1/3)=~ 1.25992 , ~same , OK ,

[@MasterTMathsClass]

Nice one

[@prollysine]

@@MasterTMathsClass Thank's...