$$789 \sqrt{ \frac{ 789 }{ 789 \times 47 \times 263 } }$$
$\frac{3\sqrt{12361}}{47}\approx 7.096597926$
$$789\sqrt{\frac{789}{37083\times 263}}$$
$$789\sqrt{\frac{789}{9752829}}$$
$$789\sqrt{\frac{1}{12361}}$$
$$789\times \frac{\sqrt{1}}{\sqrt{12361}}$$
$$789\times \frac{1}{\sqrt{12361}}$$
$$789\times \frac{\sqrt{12361}}{\left(\sqrt{12361}\right)^{2}}$$
$$789\times \frac{\sqrt{12361}}{12361}$$
$$\frac{789\sqrt{12361}}{12361}$$
$$\frac{3}{47}\sqrt{12361}$$
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