$$f(\sqrt{3})=2(\sqrt{3})^{2}-4(\sqrt{3})+16$$
$22-4\sqrt{3}\approx 15.07179677$
$$2\times 3-4\sqrt{3}+16$$
$$6-4\sqrt{3}+16$$
$$22-4\sqrt{3}$$
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$2 {(11 - 2 \sqrt{3})} = 15.07179677$
