$$[( \sqrt{ 3 } +1)/( \sqrt{ 3 } -1)]+[( \sqrt{ 3 } +1)/( \sqrt{ 3 } +1)]$$
$\sqrt{3}+3\approx 4.732050808$
$$\frac{\sqrt{3}+1}{\sqrt{3}-1}+1$$
$$\frac{\left(\sqrt{3}+1\right)\left(\sqrt{3}+1\right)}{\left(\sqrt{3}-1\right)\left(\sqrt{3}+1\right)}+1$$
$$\frac{\left(\sqrt{3}+1\right)\left(\sqrt{3}+1\right)}{\left(\sqrt{3}\right)^{2}-1^{2}}+1$$
$$\frac{\left(\sqrt{3}+1\right)\left(\sqrt{3}+1\right)}{3-1}+1$$
$$\frac{\left(\sqrt{3}+1\right)\left(\sqrt{3}+1\right)}{2}+1$$
$$\frac{\left(\sqrt{3}+1\right)^{2}}{2}+1$$
$$\frac{\left(\sqrt{3}\right)^{2}+2\sqrt{3}+1}{2}+1$$
$$\frac{3+2\sqrt{3}+1}{2}+1$$
$$\frac{4+2\sqrt{3}}{2}+1$$
$$2+\sqrt{3}+1$$
$$3+\sqrt{3}$$
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$\sqrt{3} {(\sqrt{3} + 1)} = 4.732050808$
