Math Is Fun Forum

tyuighp

Member

Registered: 2015-12-04

Posts: 12

Find the minimum

Find the minimum possible value of

given that

are nonnegative real numbers

such that

.

Last edited by tyuighp (2017-08-04 01:20:57)

zetafunc

Moderator

Registered: 2014-05-21

Posts: 2,436

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Re: Find the minimum

Use the AM-GM inequality to deduce that

You should be able to use the AM-GM inequality again, together with the fact that

, to get a lower bound for your original expression.