$$\frac{ \sqrt{ 10 } - \sqrt{ 5 } }{ 5 \sqrt{ 10 } }$$
$-\frac{\sqrt{2}}{10}+\frac{1}{5}\approx 0.058578644$
$$\frac{\left(\sqrt{10}-\sqrt{5}\right)\sqrt{10}}{5\left(\sqrt{10}\right)^{2}}$$
$$\frac{\left(\sqrt{10}-\sqrt{5}\right)\sqrt{10}}{5\times 10}$$
$$\frac{\left(\sqrt{10}-\sqrt{5}\right)\sqrt{10}}{50}$$
$$\frac{\left(\sqrt{10}\right)^{2}-\sqrt{5}\sqrt{10}}{50}$$
$$\frac{10-\sqrt{5}\sqrt{10}}{50}$$
$$\frac{10-\sqrt{5}\sqrt{5}\sqrt{2}}{50}$$
$$\frac{10-5\sqrt{2}}{50}$$
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