Question

Am nevoie de 42 ppplllllsss​

Answer 1

$a( \sqrt{2} + \sqrt{3} ) + b( \sqrt{2} - \sqrt{3} ) = \sqrt{18} + \sqrt{2}$

$\sqrt{2}a + \sqrt{3} a + \sqrt{2} b - \sqrt{3} b = 3 \sqrt{2} + \sqrt{2}$

$\sqrt{2} (a + b) + \sqrt{3}(a-b)= 4 \sqrt{2}$

$\left\{\begin{matrix} a + b = 4\\ a - b = 0\end{matrix}\right.$

$a + a + b - b = 4 + 0$

$2a = 4 \: | \div 2$

$a = 2 \: \in \: \mathbb{Q}$

$a + b = 4$

$2 + b = 4$

$b = 4 - 2$

$b = 2 \: \in \: \mathbb{Q}$

$S=\left\{(a,b)\right\}=\left\{(2,2)\right\}$