$$\frac{ 15 }{ \sqrt{ 5 } + \sqrt{ 3 } }$$
$\frac{15\left(\sqrt{5}-\sqrt{3}\right)}{2}\approx 3.780128774$
$$\frac{15\left(\sqrt{5}-\sqrt{3}\right)}{\left(\sqrt{5}+\sqrt{3}\right)\left(\sqrt{5}-\sqrt{3}\right)}$$
$$\frac{15\left(\sqrt{5}-\sqrt{3}\right)}{\left(\sqrt{5}\right)^{2}-\left(\sqrt{3}\right)^{2}}$$
$$\frac{15\left(\sqrt{5}-\sqrt{3}\right)}{5-3}$$
$$\frac{15\left(\sqrt{5}-\sqrt{3}\right)}{2}$$
$$\frac{15\sqrt{5}-15\sqrt{3}}{2}$$
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