Approximate irrational number using convergents of continued fractions

I would actually value it if any person can aid me with this trouble:

Among the convergents of $\sqrt{15}$, locate a sensible number that estimates $\sqrt{15}$ with precision to 4 decimal areas.

I recognize just how to locate the ongoing portion and also the convergents for $\sqrt{15}$. Yet I am simply not exactly sure just how to establish just how much I require to enter order to approximate that number with the asked for precision.

Many thanks!

2022-06-07 14:38:54
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