Question
Evaluate $\sqrt{0.9}$ correct up to two places of decimal.

Answer

$\begin{array}{c|c} &0.948 \\ \hline 9 & 0.\overline{90}\ \overline{00}\ \overline{00}\ \overline{00}\\& -81\ \ \ \ \ \ \ \ \ \ \ \ \ \ \\ \hline184 &\ \ 900\ \ \ \ \ \ \\ &-736\ \ \ \ \ \ \ \\ \hline1888 &\ 16400 \\ &-15104\ \ \\ \hline &\ \ \ \ 1296 \end{array}$
$\therefore\sqrt{0.9}=0.948=0.95$
(Correct up to two places of decimal)

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