\begin{align}
\sqrt{37} & = \sqrt{\frac{732-1}{122}} \
& = \sqrt{\frac{732}{122}\cdot\frac{732-1}{732}} \
& = \sqrt{\frac{732}{122}}\sqrt{\frac{732-1}{732}} \
& = \frac{73}{12}\sqrt{1 - \frac{1}{73^2}} \
& \approx \frac{73}{12}\left(1 - \frac{1}{2\cdot73^2}\right)
\end{align}
f(n) =
\begin{cases}
n/2, & \text{if \(n\) is even} \
3n+1, & \text{if \(n\) is odd} \
\end{cases}
\[\sqrt{37} = \sqrt{\frac{73^2-1}{12^2}}
\]
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