Question
Evaluate $\sqrt{3}$ up to two places of decimal.

Answer

$\begin{array}{c|c} &1.732 \\ \hline 1 &3. \overline{00}\ \overline{00}\ \overline{00}\\& -1\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \\ \hline27 &200\ \ \ \ \ \ \ \ \ \ \ \\ &-189\ \ \ \ \ \ \ \ \ \ \ \ \ \ \\ \hline343 &\ 1100\ \ \ \ \ \ \\ &-1029\ \ \ \ \ \ \ \ \\ \hline \hline3462 &\ \ \ \ \ \ \ 7100\ \ \ \ \ \ \\ &\ \ \ \ -6924\ \ \ \ \ \ \ \ \\ \hline&\ \ \ \ \ \ \ \ \ \ \ \ 176\ \ \ \ \ \ \ \ \end{array}$ $\therefore\sqrt{3}=1732=1.73$ (Correct up to two places of decimal)

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