$$\sqrt{ 1+ \frac{ 25 }{ 16 } + \frac{ 3 }{ 2 } }$$
$\frac{\sqrt{65}}{4}\approx 2.015564437$
$$\sqrt{\frac{16}{16}+\frac{25}{16}+\frac{3}{2}}$$
$$\sqrt{\frac{16+25}{16}+\frac{3}{2}}$$
$$\sqrt{\frac{41}{16}+\frac{3}{2}}$$
$$\sqrt{\frac{41}{16}+\frac{24}{16}}$$
$$\sqrt{\frac{41+24}{16}}$$
$$\sqrt{\frac{65}{16}}$$
$$\frac{\sqrt{65}}{\sqrt{16}}$$
$$\frac{\sqrt{65}}{4}$$
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