\displaystyle \textbf{TABLE OF SQUARE ROOTS}

\displaystyle \begin{array}{|c|c||c|c||c|c||c|c||c|c|} \hline x&\sqrt{x}&x&\sqrt{x}&x&\sqrt{x}&x&\sqrt{x}&x&\sqrt{x}\\ \hline 1&1.000&21&4.583&41&6.403&61&7.810&81&9.000\\ 2&1.414&22&4.690&42&6.481&62&7.874&82&9.055\\ 3&1.732&23&4.796&43&6.557&63&7.937&83&9.110\\ 4&2.000&24&4.899&44&6.633&64&8.000&84&9.165\\ 5&2.236&25&5.000&45&6.708&65&8.062&85&9.220\\ 6&2.449&26&5.099&46&6.782&66&8.124&86&9.274\\ 7&2.646&27&5.196&47&6.856&67&8.185&87&9.327\\ 8&2.828&28&5.292&48&6.928&68&8.246&88&9.381\\ 9&3.000&29&5.385&49&7.000&69&8.307&89&9.434\\ 10&3.162&30&5.477&50&7.071&70&8.367&90&9.487\\ 11&3.317&31&5.568&51&7.141&71&8.426&91&9.539\\ 12&3.464&32&5.657&52&7.211&72&8.485&92&9.592\\ 13&3.606&33&5.745&53&7.280&73&8.544&93&9.644\\ 14&3.742&34&5.831&54&7.348&74&8.602&94&9.695\\ 15&3.873&35&5.916&55&7.416&75&8.660&95&9.747\\ 16&4.000&36&6.000&56&7.483&76&8.718&96&9.798\\ 17&4.123&37&6.083&57&7.550&77&8.775&97&9.849\\ 18&4.243&38&6.164&58&7.616&78&8.832&98&9.899\\ 19&4.359&39&6.245&59&7.681&79&8.888&99&9.950\\ 20&4.472&40&6.325&60&7.746&80&8.944&100&10.000\\ \hline \end{array}

\displaystyle \\

\displaystyle \textbf{Question: }\text{Using the square root table, find the values of the following:}
\displaystyle \text{(1) }\sqrt{8}\qquad\text{(2) }\sqrt{29}\qquad \text{(3) }\sqrt{73}\qquad\text{(4) }\sqrt{124}
\displaystyle \text{(5) }\sqrt{148}\qquad\text{(6) }\sqrt{212}\qquad \text{(7) }\sqrt{549}\qquad\text{(8) }\sqrt{2075}
\displaystyle \text{(9) }\sqrt{3312}\qquad\text{(10) }\sqrt{3000}\qquad \text{(11) }\sqrt{\frac{7}{81}}\qquad\text{(12) }\sqrt{\frac{99}{144}}

\displaystyle \text{Answer:}
\displaystyle \text{(1) }\sqrt{8}\approx2.828.

\displaystyle \text{(2) }\sqrt{29}\approx5.385.

\displaystyle \text{(3) }\sqrt{73}\approx8.544.

\displaystyle \text{(4) }\sqrt{124} =\sqrt{4\times31}=2\sqrt{31}
\displaystyle \approx2\times5.568=11.136.

\displaystyle \text{(5) }\sqrt{148} =\sqrt{4\times37}=2\sqrt{37}
\displaystyle \approx2\times6.083=12.166.

\displaystyle \text{(6) }\sqrt{212} =\sqrt{4\times53}=2\sqrt{53}
\displaystyle \approx2\times7.280=14.560.

\displaystyle \text{(7) }\sqrt{549} =\sqrt{9\times61}=3\sqrt{61}
\displaystyle \approx3\times7.810=23.430.

\displaystyle \text{(8) }\sqrt{2075} =\sqrt{25\times83}=5\sqrt{83}
\displaystyle \approx5\times9.110=45.550.

\displaystyle \text{(9) }\sqrt{3312} =\sqrt{16\times9\times23}=12\sqrt{23}
\displaystyle \approx12\times4.796=57.552.

\displaystyle \text{(10) }\sqrt{3000} =\sqrt{100\times30}=10\sqrt{30}
\displaystyle \approx10\times5.477=54.770.

\displaystyle \text{(11) }\sqrt{\frac{7}{81}} =\frac{\sqrt{7}}{\sqrt{81}}=\frac{\sqrt{7}}{9}
\displaystyle \approx\frac{2.646}{9}=0.294.

\displaystyle \text{(12) }\sqrt{\frac{99}{144}} =\frac{\sqrt{99}}{12}=\frac{3\sqrt{11}}{12}=\frac{\sqrt{11}}{4}
\displaystyle \approx\frac{3.317}{4}=0.82925\approx0.829.
\displaystyle \\

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