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#UNIMED2012 : No. 15

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Help me :')

Bila $x,y,z \in$ riil positif dengan ${\sqrt{xy}}+{\sqrt{xz}}+{\sqrt{yz}}=1$, dimana $f:(a,b) \to {\frac{a^2}{a+b}}$ untuk setiap $a,b \in$ riil positif, maka nilai minimum $P=f(x,y)+f(x,z)+f(y,z)$ adalah...?

Thx bantuannya :)

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