$$\frac{3-2\sqrt{2}}{3+2\sqrt{2}}$$
$17-12\sqrt{2}\approx 0.029437252$
$$\frac{\left(3-2\sqrt{2}\right)\left(3-2\sqrt{2}\right)}{\left(3+2\sqrt{2}\right)\left(3-2\sqrt{2}\right)}$$
$$\frac{\left(3-2\sqrt{2}\right)\left(3-2\sqrt{2}\right)}{3^{2}-\left(2\sqrt{2}\right)^{2}}$$
$$\frac{\left(3-2\sqrt{2}\right)^{2}}{3^{2}-\left(2\sqrt{2}\right)^{2}}$$
$$\frac{9-12\sqrt{2}+4\left(\sqrt{2}\right)^{2}}{3^{2}-\left(2\sqrt{2}\right)^{2}}$$
$$\frac{9-12\sqrt{2}+4\times 2}{3^{2}-\left(2\sqrt{2}\right)^{2}}$$
$$\frac{9-12\sqrt{2}+8}{3^{2}-\left(2\sqrt{2}\right)^{2}}$$
$$\frac{17-12\sqrt{2}}{3^{2}-\left(2\sqrt{2}\right)^{2}}$$
$$\frac{17-12\sqrt{2}}{9-\left(2\sqrt{2}\right)^{2}}$$
$$\frac{17-12\sqrt{2}}{9-2^{2}\left(\sqrt{2}\right)^{2}}$$
$$\frac{17-12\sqrt{2}}{9-4\left(\sqrt{2}\right)^{2}}$$
$$\frac{17-12\sqrt{2}}{9-4\times 2}$$
$$\frac{17-12\sqrt{2}}{9-8}$$
$$\frac{17-12\sqrt{2}}{1}$$
$$17-12\sqrt{2}$$
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