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             bookmarkstype=toc,pdftitle={平方根},pdfsubject={中学3年},pdfauthor={小澤茂昌}]{hyperref}
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\begin{document}

\twocolumn[%
  \begin{center}
    \Large\bf $3$年~平方根
  \end{center}
  \begin{flushright}
    \underline{\hspace{1cm}}年\underline{\hspace{1cm}}組\underline{\hspace{1cm}}番
    \hspace{1zw}氏名\underline{\hspace{5cm}}
  \end{flushright}
 \vspace{5mm}]

\begin{enumerate}
\parindent = 0zw 
%%平方根の意味
\item 次の数の平方根を求めなさい。
\begin{enumerate}
\item $16$

\LINE

\item $7$

\LINE

\item $\displaystyle \frac{9}{\>16\>}$ 

\LINE

\end{enumerate}

%%近似値計算
\item $\sqrt{\>3\>}=1.73\>,\>\sqrt{\>30\>}=5.48$を利用して次の数の近似値を求めなさ
い。

\begin{enumerate}

\item  $\sqrt{\>300\>}$ 

\vfill
\LINE

\item  $\sqrt{\>120\>}$ 

\vfill
\LINE

\item  $\sqrt{\>0.003\>}$ 

\vfill
\LINE

\end{enumerate}

\medskip

%%平方根の計算
\item 次の式を計算しなさい。

\begin{enumerate}

\item $\sqrt{\>2\>} + \sqrt{\>2\>}$ 

\LINE

\item $\sqrt{\>5\>} \times \sqrt{\>3\>}$

\LINE

\item $2\sqrt{\>3\>}\times 4\sqrt{\>6\>}\div 6\sqrt{\>12\>}$

\vfill
\LINE

\item $\displaystyle \frac{\>\sqrt{\>18\>}\>}{3}-\frac{\>\sqrt{\>50\>}\>}{5}$

\vfill
\LINE

\item $(\sqrt{\>15\>}+\sqrt{\>3\>})\div\sqrt{\>3\>}$

\vfill
\LINE

\item $\displaystyle \frac{2}{\>\sqrt{\>3\>}\>}-\frac{\>\sqrt{\>6\>}\>}{\>\sqrt{\>2\>}\>}-\frac{1}{\>\sqrt{\>12\>}\>}$

\vfill
\LINE

\item $(\sqrt{\>6\>}+3)(\sqrt{\>6\>}-2)$

\vfill
\vfill
\LINE

\newpage

\item $(\sqrt{\>6\>}-\sqrt{\>3\>})^2+2(5-3\sqrt{\>2\>})$

\vfill
\vfill
\LINE

\item $\displaystyle \frac{6}{\>\sqrt{\>3\>}\>}-\frac{\>\sqrt{\>12\>}\>}{2}+\sqrt{\>3\>}$

\vfill
\vfill
\LINE

\end{enumerate}

%%平方根の意味の応用
\item 次の問いに答えなさい。
\begin{enumerate}
\item $2<\sqrt{\>a\>}<3$にあてはまる整数$\>a\>$をすべて求めなさい。

\vfill
\vfill
\LINE

\item  $\sqrt{\>84x\>}\>$が整数となるような最小の整数$\>x\>$の値を求めなさい。

\vfill
\vfill
\LINE

\item  $\sqrt{\>19\>}\>,\>2\sqrt{\>5\>}\>,\>3\sqrt{\>2\>}$の大小を不等号を用いて表しなさ
い。

\vfill
\vfill
\LINE

\item  $\sqrt{\>131\>}$ を近似値を求めたとき，その整数部分はいくつになりますか。


\vfill
\vfill
\LINE

\end{enumerate}

%%正方形の一辺
\item 面積が$2\>$\ajLig{cm2}の正方形を次の図の中に書きなさい。
ただし正方形の各頂点は縦と横の線の交わった格子上にあるものとします。

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\end{enumerate}

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