Japan | A Nice Algebra Problem | Math Olympiad

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[@himo3485]

√[125+50√6]=√[a²+2ab+b²]=√(a+b)²=a+b
a²+b²=125 2ab=50√6 ab=25√6
25√6=√[2*3*5*5*5*5]=√75*√50 a²=75 a=√75=5√3 b²=50 b=√50=5√2
Answer : 5√3 + 5√2

[@user-ee7nw2rx9s]

Если представить 5-sqrt 24=(sqrt3 - sqrt2)^2, то
Манипуляции с более маленькими цифрами проще

[@user-vf1eu2gq1y]

Красиво!!!

[@comdo777]

asnwer=4/3 isit

[@comdo777]

asnwer=5(2/3) isit whywhat