$$\frac { 3 \sqrt { 2 } + \sqrt { 2 } } { 2 \sqrt { 5 } - 3 \sqrt { 2 } }$$
$4\left(\sqrt{10}+3\right)\approx 24.649110641$
$$\frac{4\sqrt{2}}{2\sqrt{5}-3\sqrt{2}}$$
$$\frac{4\sqrt{2}\left(2\sqrt{5}+3\sqrt{2}\right)}{\left(2\sqrt{5}-3\sqrt{2}\right)\left(2\sqrt{5}+3\sqrt{2}\right)}$$
$$\frac{4\sqrt{2}\left(2\sqrt{5}+3\sqrt{2}\right)}{\left(2\sqrt{5}\right)^{2}-\left(-3\sqrt{2}\right)^{2}}$$
$$\frac{4\sqrt{2}\left(2\sqrt{5}+3\sqrt{2}\right)}{2^{2}\left(\sqrt{5}\right)^{2}-\left(-3\sqrt{2}\right)^{2}}$$
$$\frac{4\sqrt{2}\left(2\sqrt{5}+3\sqrt{2}\right)}{4\left(\sqrt{5}\right)^{2}-\left(-3\sqrt{2}\right)^{2}}$$
$$\frac{4\sqrt{2}\left(2\sqrt{5}+3\sqrt{2}\right)}{4\times 5-\left(-3\sqrt{2}\right)^{2}}$$
$$\frac{4\sqrt{2}\left(2\sqrt{5}+3\sqrt{2}\right)}{20-\left(-3\sqrt{2}\right)^{2}}$$
$$\frac{4\sqrt{2}\left(2\sqrt{5}+3\sqrt{2}\right)}{20-\left(-3\right)^{2}\left(\sqrt{2}\right)^{2}}$$
$$\frac{4\sqrt{2}\left(2\sqrt{5}+3\sqrt{2}\right)}{20-9\left(\sqrt{2}\right)^{2}}$$
$$\frac{4\sqrt{2}\left(2\sqrt{5}+3\sqrt{2}\right)}{20-9\times 2}$$
$$\frac{4\sqrt{2}\left(2\sqrt{5}+3\sqrt{2}\right)}{20-18}$$
$$\frac{4\sqrt{2}\left(2\sqrt{5}+3\sqrt{2}\right)}{2}$$
$$2\sqrt{2}\left(2\sqrt{5}+3\sqrt{2}\right)$$
$$4\sqrt{2}\sqrt{5}+6\left(\sqrt{2}\right)^{2}$$
$$4\sqrt{10}+6\left(\sqrt{2}\right)^{2}$$
$$4\sqrt{10}+6\times 2$$
$$4\sqrt{10}+12$$
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$4 {(\sqrt{10} + 3)} = 24.649110641$
