2 x^2+y^2+ 8 z^2-(2 root 2) x y+(4 root 2) y z- 8 x z
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((root 2)x-y+(2 root 2)z)^2
(Hint: (a-b+c)^2= a^2+b^2+c^2-2ab+2bc-2ca)
x=a=root 2
y=b=1
z=c=2root2
(Hint: (a-b+c)^2= a^2+b^2+c^2-2ab+2bc-2ca)
x=a=root 2
y=b=1
z=c=2root2
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