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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
10 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
10 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
10 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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