$$\frac { 3 } { 7 + 3 \sqrt { 2 } }$$
$\frac{21-9\sqrt{2}}{31}\approx 0.266841224$
$$\frac{3\left(7-3\sqrt{2}\right)}{\left(7+3\sqrt{2}\right)\left(7-3\sqrt{2}\right)}$$
$$\frac{3\left(7-3\sqrt{2}\right)}{7^{2}-\left(3\sqrt{2}\right)^{2}}$$
$$\frac{3\left(7-3\sqrt{2}\right)}{49-\left(3\sqrt{2}\right)^{2}}$$
$$\frac{3\left(7-3\sqrt{2}\right)}{49-3^{2}\left(\sqrt{2}\right)^{2}}$$
$$\frac{3\left(7-3\sqrt{2}\right)}{49-9\left(\sqrt{2}\right)^{2}}$$
$$\frac{3\left(7-3\sqrt{2}\right)}{49-9\times 2}$$
$$\frac{3\left(7-3\sqrt{2}\right)}{49-18}$$
$$\frac{3\left(7-3\sqrt{2}\right)}{31}$$
$$\frac{21-9\sqrt{2}}{31}$$
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