Homework Help

Demonstrate the inequality: [(a+b)/c]*[(b+c)/d]*[(c+d)/a]*[(d+a)/b]>16

adoreb's profile pic

Posted via web

dislike 1 like

Demonstrate the inequality:


1 Answer | Add Yours

giorgiana1976's profile pic

Posted (Answer #1)

dislike 1 like

We know that (sqrt a + sqrt b)^2=a+b+2sqrt (a*b)

a+b>2sqrt (a*b) and (a+b)/c>2sqrt (a*b)/c

c+b>2sqrt (c*b) and (c+b)/d>2sqrt (c*b)/d

c+d>2sqrt (c*d) and (c+d)/a>2sqrt (c*d)/a

a+d>2sqrt (a*d) and (a+d)/b>2sqrt (a*d)/b



Join to answer this question

Join a community of thousands of dedicated teachers and students.

Join eNotes