Question

find the approximate value of the following roots corrected to 4 decimal places
i) 7√199

ii) 3√1002 - 3√998

Answer 1

$$\begin{gathered} 14.1067 \\ 1\overline{)\overline{199.00000000}} \\ \underline{1} \\ 24\overline{)099} \\ \underline{96} \\ 281\overline{)3}00 \\ \underline{281} \\ 28206\overline{)19}0000 \\ \underline{169236} \\ 282127\overline{)20764}00 \\ \underline{1974889} \\ 101511 \end{gathered}$$

SO $7\sqrt{199}=7\times 14.1067=98.7471$
Similarly you can solve others too.