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Mathematics 14 Online
OpenStudy (anonymous):

show that x + y + z >= (xy)^1\2 + (xz)^1\2 + (yz)^1\2. Please help.

ganeshie8 (ganeshie8):

familiar with AM-GM inequality ?

OpenStudy (anonymous):

you mean arithmetic and geometric? yes but i can't show this

OpenStudy (anonymous):

(x+ y)\2 >= (xy)^1\2 then likewise then what?

ganeshie8 (ganeshie8):

yes, repeat them for y+z, and z+x add them all

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