Not simple

Algebra Level 4

If \[x+y+z\leq 1\],\[x,y,z> 0\]

Find minimum of \[\sqrt{x^2+\frac{1}{x^2}}+\sqrt{y^2+\frac{1}{y^2}}+\sqrt{z^2+\frac{1}{z^2}}\] Note:If the answer is 1.111111...Type 1.11

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