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let p,q,r belongs to positive real no and 2/pqr>=(p+q+r)^3 and 3p+4q+5r=12 then p^3+q^4+r^5 is equal to

let p,q,r belongs to positive real no and 2/pqr>=(p+q+r)^3 and 3p+4q+5r=12 then p^3+q^4+r^5 is equal to

Grade:12

3 Answers

Amit Jain
askIITians Faculty 32 Points
7 years ago
There is an error in the question. Please check the first expression and reply with correct question. Amit Jain IIT Delhi AskIITian Faculty
shubham garg
35 Points
7 years ago
let p,q,r belongs to positive real no and and27pqr>=(p+q+r)^3 and 3p+4q+5r=12 then p^3+q^4+r^5 is equal to
Amit Jain
askIITians Faculty 32 Points
7 years ago
Use the concept of AM>=GM. so p+q+r/3 >= (pqr)^1/3. So by this and the relation given in the question, we can deduce that equality holds when p=q=r=1. So the value of given expression would be 3. Hope that helps. Amit Jain IIT Delhi AskIITians Faculty

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