$$\frac{ 4 }{ \sqrt{ 7 } - \sqrt{ 3 } }$$
$\sqrt{3}+\sqrt{7}\approx 4.377802119$
$$\frac{4\left(\sqrt{7}+\sqrt{3}\right)}{\left(\sqrt{7}-\sqrt{3}\right)\left(\sqrt{7}+\sqrt{3}\right)}$$
$$\frac{4\left(\sqrt{7}+\sqrt{3}\right)}{\left(\sqrt{7}\right)^{2}-\left(\sqrt{3}\right)^{2}}$$
$$\frac{4\left(\sqrt{7}+\sqrt{3}\right)}{7-3}$$
$$\frac{4\left(\sqrt{7}+\sqrt{3}\right)}{4}$$
$$\sqrt{7}+\sqrt{3}$$
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