How to solve this nice math Exponential algebra problem | Olympiad Question | a^2+b^2+c^2=?

[@HuzaifaKhan-m3i]

❤❤❤❤❤❤

[@HuzaifaKhan-m3i]

Great question sir g

[@AfsarSaid-f8s]

Great question sir waheeb SAB

[@Y.G.3.0.3.]

Bolo jai shree ram..💪🏻♥️♥️♥️🚩🚩🚩🚩🚩🚩🚩🚩🚩🚩🚩🚩🚩🚩🇮🇳🇮🇳🇮🇳🇮🇳🇮🇳🇮🇳🇮🇳🇮🇳🇮🇳🇮🇳🇮🇳🇮🇳🇮🇳🇮🇳🇮🇳🇮🇳🇮🇳🇮🇳🇮🇳

[@SrisailamNavuluri]

a^2=ab×ca/bc=750 b^2=ab×bc/ca=1000/3 c^2=bc×ca/ab=3000 Sum=2250/3+1000/3+9000/3 =12250/3.