Simplify \( \sqrt{12} \cdot \sqrt{66} \) \( \square \) For \( 2 \sqrt{3} \), type in \( 2^{*} \) sqrt(3)

\( \begin{array}{ll}\text { a) } 3 \sqrt{12}-5 \sqrt{27}+\sqrt{243}-\frac{1}{5} \sqrt{75} & \text { b) } \sqrt{14+\sqrt{7-\sqrt[4]{81}}}\end{array} \)

8. a) \( \operatorname{Add} \frac{7}{9+\frac{1}{6}}= \)

[b] Simplify to the simplest form : \( \sqrt{125}-\sqrt[3]{250}+\frac{1}{2} \sqrt[3]{16}+\sqrt{20} \)

Exencice 1 - POLynesie 2001 Calculer le nombre B en détaillant les calculs. \[ B=\frac{10^{7} \times 10^{-3}}{10} \] On donnera le résultat sous la forme \( 10^{n} \).

1) \( f(x)=\log _{2} \quad x+2 \) 2) \( f(x)=\log _{2} \quad x-1 \) 3) \( f(x)=\log _{2} \quad x+3 \) 4) \( f(x)=\log _{2}(x+2) \) 5) \( f(x)=\log _{2}(x-2) \) 6) \( f(x)=\log _{2}(x-5) \)