$$1/ \sqrt{ 2 } \times \sqrt{ 3 } /2-1/ \sqrt{ 2 } \times 1/2$$
$\frac{\sqrt{2}\left(\sqrt{3}-1\right)}{4}\approx 0.258819045$
$$\frac{\frac{\sqrt{2}}{\left(\sqrt{2}\right)^{2}}\sqrt{3}}{2}-\frac{1\times \frac{1}{\sqrt{2}}}{2}$$
$$\frac{\frac{\sqrt{2}}{2}\sqrt{3}}{2}-\frac{1\times \frac{1}{\sqrt{2}}}{2}$$
$$\frac{\frac{\sqrt{2}\sqrt{3}}{2}}{2}-\frac{1\times \frac{1}{\sqrt{2}}}{2}$$
$$\frac{\sqrt{2}\sqrt{3}}{2\times 2}-\frac{1\times \frac{1}{\sqrt{2}}}{2}$$
$$\frac{\sqrt{6}}{2\times 2}-\frac{1\times \frac{1}{\sqrt{2}}}{2}$$
$$\frac{\sqrt{6}}{4}-\frac{1\times \frac{1}{\sqrt{2}}}{2}$$
$$\frac{\sqrt{6}}{4}-\frac{1\times \frac{\sqrt{2}}{\left(\sqrt{2}\right)^{2}}}{2}$$
$$\frac{\sqrt{6}}{4}-\frac{1\times \frac{\sqrt{2}}{2}}{2}$$
$$\frac{\sqrt{6}}{4}-\frac{\frac{\sqrt{2}}{2}}{2}$$
$$\frac{\sqrt{6}}{4}-\frac{\sqrt{2}}{2\times 2}$$
$$\frac{\sqrt{6}}{4}-\frac{\sqrt{2}}{4}$$
$$\frac{\sqrt{6}-\sqrt{2}}{4}$$
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$\frac{\sqrt{2} {(\sqrt{3} - 1)}}{4} = 0.25881904510252074$
