Ta có
\(\sqrt{x\left(4-y\right)\left(4-z\right)}=\sqrt{x\left[4\left(4-y-z\right)+yz\right]}\)
\(=\sqrt{x\left(4\left(x+\sqrt{xyz}\right)+yz\right)}\)
\(=\sqrt{4x^2+4x\sqrt{xyz}+xyz}\)
\(=2x+\sqrt{xyz}\)
Khi đó \(T=2\left(x+y+z\right)+3\sqrt{xyz}-\sqrt{xyz}=2.4=8\)