$$2 \frac { 2 } { 3 } \frac { 3 } { 7 } \sqrt { \frac { 5 } { 21 } }$$
$\frac{8\sqrt{105}}{147}\approx 0.557657185$
$$\frac{6+2}{3}\times \frac{3}{7}\sqrt{\frac{5}{21}}$$
$$\frac{8}{3}\times \frac{3}{7}\sqrt{\frac{5}{21}}$$
$$\frac{8\times 3}{3\times 7}\sqrt{\frac{5}{21}}$$
$$\frac{8}{7}\sqrt{\frac{5}{21}}$$
$$\frac{8}{7}\times \frac{\sqrt{5}}{\sqrt{21}}$$
$$\frac{8}{7}\times \frac{\sqrt{5}\sqrt{21}}{\left(\sqrt{21}\right)^{2}}$$
$$\frac{8}{7}\times \frac{\sqrt{5}\sqrt{21}}{21}$$
$$\frac{8}{7}\times \frac{\sqrt{105}}{21}$$
$$\frac{8\sqrt{105}}{7\times 21}$$
$$\frac{8\sqrt{105}}{147}$$
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