, iar cei mai multi,

\( \left(\frac{a}{b}\right)^{3} \) \( \left(\frac{a}{b}\right)^{3}=\left(\frac{a}{b}\right) \) (Simplify your answers.)

d \( (26-18) \times 5 \div 10+10 \)

la raíz cuac

Exercice 3: (1) En utilisant "Le raisonnement par la contraposée", montrer que: a \( \left(\forall \mathrm{x} \in\left[-1 ;+\infty[) ; \quad\right.\right. \) Si \( \quad \mathrm{x} \neq 0 \quad \) alors \( \sqrt{1+\mathrm{x}} \neq 1+\frac{\mathrm{x}}{2} \) b \( \left(\forall \mathrm{x}, \mathrm{y} \in \mathbb{R}^{2}\right) ; \quad\left|2 \mathrm{x}^{2}+5 \mathrm{xy}+3 \mathrm{y}^{2}\right| \leq \sqrt{3} \Rightarrow(|\mathrm{x}+\mathrm{y}| \leq \sqrt{3} \quad \) ou \( \quad|2 \mathrm{x}+3 \mathrm{y}| \leq \sqrt{3}) \) c \( (\forall \mathrm{n} \in \mathbb{N}) ; \mathrm{n}^{2} \) est multiple de \( 3 \Rightarrow \mathrm{n} \) est un multiple de 3. (2) En utilisant "Le raisonnement par l'absurde", montrer que: \( \begin{array}{l}\text { a } \sqrt{3} \notin \mathbb{Q} \\ \text { b }(\forall \mathrm{n} \in \mathbb{N}): \quad \sqrt{4 \mathrm{n}+3} \notin \mathbf{N}\end{array} \)

14. The area of the Pacific Ocean is approximately \( 64 \cdot 10^{6} \) square miles. The area of the Gulf of Mexico is approximately \( 10^{5} \) square miles. How many times greater is the area of the Pacific Ocean than the area of the Gulf of Mexico?