$$\frac { 3 } { 2 \sqrt { 5 } - 3 \sqrt { 2 } }$$
$\frac{3\sqrt{2}\left(\sqrt{10}+3\right)}{2}\approx 13.072164963$
$$\frac{3\left(2\sqrt{5}+3\sqrt{2}\right)}{\left(2\sqrt{5}-3\sqrt{2}\right)\left(2\sqrt{5}+3\sqrt{2}\right)}$$
$$\frac{3\left(2\sqrt{5}+3\sqrt{2}\right)}{\left(2\sqrt{5}\right)^{2}-\left(-3\sqrt{2}\right)^{2}}$$
$$\frac{3\left(2\sqrt{5}+3\sqrt{2}\right)}{2^{2}\left(\sqrt{5}\right)^{2}-\left(-3\sqrt{2}\right)^{2}}$$
$$\frac{3\left(2\sqrt{5}+3\sqrt{2}\right)}{4\left(\sqrt{5}\right)^{2}-\left(-3\sqrt{2}\right)^{2}}$$
$$\frac{3\left(2\sqrt{5}+3\sqrt{2}\right)}{4\times 5-\left(-3\sqrt{2}\right)^{2}}$$
$$\frac{3\left(2\sqrt{5}+3\sqrt{2}\right)}{20-\left(-3\sqrt{2}\right)^{2}}$$
$$\frac{3\left(2\sqrt{5}+3\sqrt{2}\right)}{20-\left(-3\right)^{2}\left(\sqrt{2}\right)^{2}}$$
$$\frac{3\left(2\sqrt{5}+3\sqrt{2}\right)}{20-9\left(\sqrt{2}\right)^{2}}$$
$$\frac{3\left(2\sqrt{5}+3\sqrt{2}\right)}{20-9\times 2}$$
$$\frac{3\left(2\sqrt{5}+3\sqrt{2}\right)}{20-18}$$
$$\frac{3\left(2\sqrt{5}+3\sqrt{2}\right)}{2}$$
$$\frac{6\sqrt{5}+9\sqrt{2}}{2}$$
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