$$\sqrt{2\frac{1337}{3844}}$$
$\frac{95}{62}\approx 1.532258065$
$$\sqrt{\frac{7688+1337}{3844}}$$
$$\sqrt{\frac{9025}{3844}}$$
$$\frac{95}{62}$$
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$\frac{5 \cdot 19}{2 \cdot 31} = 1\frac{33}{62} = 1.532258064516129$