$$\frac{6}{\sqrt{5}+\sqrt{2}}$$
$2\left(\sqrt{5}-\sqrt{2}\right)\approx 1.64370883$
$$\frac{6\left(\sqrt{5}-\sqrt{2}\right)}{\left(\sqrt{5}+\sqrt{2}\right)\left(\sqrt{5}-\sqrt{2}\right)}$$
$$\frac{6\left(\sqrt{5}-\sqrt{2}\right)}{\left(\sqrt{5}\right)^{2}-\left(\sqrt{2}\right)^{2}}$$
$$\frac{6\left(\sqrt{5}-\sqrt{2}\right)}{5-2}$$
$$\frac{6\left(\sqrt{5}-\sqrt{2}\right)}{3}$$
$$2\left(\sqrt{5}-\sqrt{2}\right)$$
$$2\sqrt{5}-2\sqrt{2}$$
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