$$\frac { } { \frac { 7 \sqrt { 3 } } { \sqrt { 10 } - \sqrt { 3 } } }$$
$\frac{\sqrt{30}-3}{21}\approx 0.117963123$
$$\frac{\sqrt{10}-\sqrt{3}}{7\sqrt{3}}$$
$$\frac{\left(\sqrt{10}-\sqrt{3}\right)\sqrt{3}}{7\left(\sqrt{3}\right)^{2}}$$
$$\frac{\left(\sqrt{10}-\sqrt{3}\right)\sqrt{3}}{7\times 3}$$
$$\frac{\left(\sqrt{10}-\sqrt{3}\right)\sqrt{3}}{21}$$
$$\frac{\sqrt{10}\sqrt{3}-\left(\sqrt{3}\right)^{2}}{21}$$
$$\frac{\sqrt{30}-\left(\sqrt{3}\right)^{2}}{21}$$
$$\frac{\sqrt{30}-3}{21}$$
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$\frac{\sqrt{30} - 3}{21} = 0.11796312262150768$