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1). if x,y,z are positive then the least value of (x+y)(y+z)(z+x)/xyz 2). if a,b,c are positive, then the least value of (a+b+c) (1/a+1/b+1/c)

sreedhar , 9 Years ago
Grade 12
anser 2 Answers
mycroft holmes

Last Activity: 9 Years ago

This is an application of AM-GM Inequality on the three expressions (x+y), (y+z), (z+x). Then we multiply the three inequalities. The full solution is below:
 

mycroft holmes

Last Activity: 9 Years ago

This is an application of AM-GM Inequality on th etwo expressions (a+b+c), (1/a+1/b+1/c). Then we multiply the two inequalities. The full solution is below:
 

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