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% Title Page
\titre{Racine carré- Exercices}
% \seconde \premiereS \PSTMG \TSTMG
\classe{Troisième}
\date{Avril 2016}

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%\printanswers

\begin{document}

\vfill

\begin{Exo}
    Mettre les nombres suivants sous la forme $\sqrt{a}$, puis calculer de carré de chacun de ses nombres.
    \begin{multicols}{4}
        \begin{enumerate}
            \Block{set e = randint(2, 10)}
            \Block{set f = randint(2, 15)}
            \item $\sqrt{\Var{e}} \times \sqrt{\Var{f}}$

            \Block{set e = randint(2, 10)}
            \Block{set f = randint(2, 15)}
            \item $\sqrt{\Var{e}} \times \sqrt{\Var{f}}$

            \Block{set e = randint(2, 10)}
            \Block{set f = randint(2, 15)}
            \item $\Var{e} \sqrt{\Var{f}}$

            \Block{set e = randint(2, 10)}
            \Block{set f = randint(2, 15)}
            \item $\Var{e} \sqrt{\Var{f}}$

            \Block{set e = randint(2, 10)}
            \Block{set f = randint(2, 15)}
            \item $\sqrt{\Var{e}} \times \sqrt{\Var{f}}$

            \Block{set e = randint(2, 10)}
            \Block{set f = randint(2, 15)}
            \item $\sqrt{\Var{e}} \times \sqrt{\Var{f}}$

            \Block{set e = randint(2, 10)}
            \Block{set f = randint(2, 15)}
            \item $\Var{e} \sqrt{\Var{f}}$

            \Block{set e = randint(2, 10)}
            \Block{set f = randint(2, 15)}
            \item $\Var{e} \sqrt{\Var{f}}$
        \end{enumerate}
    \end{multicols}
\end{Exo}

\vfill
\begin{Exo}
    Mettre les nombres suivants sous la forme $a\sqrt{b}$.
    \begin{multicols}{4}
        \begin{enumerate}
            \Block{set s = Expression.random("{a}^2*{b}",conditions = ["{a} in [2, 3, 4, 5]" , "{b}>1"])}
            \item $\sqrt{\Var{s.simplify()}}$
            \Block{set s = Expression.random("{a}^2*{b}",conditions = ["{a} in [2, 3, 4, 5]" , "{b}>1"])}
            \item $\sqrt{\Var{s.simplify()}}$
            \Block{set s = Expression.random("{a}^2*{b}",conditions = ["{a} in [2, 3, 4, 5]" , "{b}>1"])}
            \item $\sqrt{\Var{s.simplify()}}$
            \Block{set s = Expression.random("{a}^2*{b}",conditions = ["{a} in [2, 3, 4, 5]" , "{b}>1"])}
            \item $\sqrt{\Var{s.simplify()}}$

            \Block{set s = Expression.random("{a}^2*{b}",conditions = ["{a} in [2, 3, 4, 5]" , "{b}>1"])}
            \item $\sqrt{\Var{s.simplify()}}$
            \Block{set s = Expression.random("{a}^2*{b}",conditions = ["{a} in [2, 3, 4, 5]" , "{b}>1"])}
            \item $\sqrt{\Var{s.simplify()}}$
            \Block{set s = Expression.random("{a}^2*{b}",conditions = ["{a} in [2, 3, 4, 5]" , "{b}>1"])}
            \item $\sqrt{\Var{s.simplify()}}$
            \Block{set s = Expression.random("{a}^2*{b}",conditions = ["{a} in [2, 3, 4, 5]" , "{b}>1"])}
            \item $\sqrt{\Var{s.simplify()}}$
        \end{enumerate}
    \end{multicols}
\end{Exo}
\vfill

\begin{Exo}
    Ne pas utiliser la calculatrice dans cet exercice.

    Calculer la longueur manquante dans les triangles rectangles suivant et mettre sous la forme $a\sqrt{b}$ avec $b$ le plus petit possible.

    \begin{enumerate}
        \item $ABC$ rectangle en $A$ tel que $AB = \sqrt{3}$ et $AC = \sqrt{2}$.
        \item $IJK$ rectangle en $J$ tel que $IJ = 5$ et $JK = \sqrt{7}$.
        \item $LMN$ rectangle en $L$ tel que $LM = \sqrt{7}$ et $MN = 7$.
    \end{enumerate}
\end{Exo}

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\end{document}

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