[tex]\dfrac{ 3\sqrt{2} }{2} \in \mathbb_{R} \backslash \mathbb_{Q} \subset \mathbb_R $ \\ \\ $ \mathbb_{R} \backslash \mathbb_{Q} $ este inclus in $\mathbb_R $ deci, face parte tot din $ \mathbb_{R}, $ deci $\dfrac{ 3\sqrt{2} }{2} \in \mathbb_R[/tex]
[tex] d) \\ \\ \sqrt{2}\cdot x-4=2x-2 \sqrt{2} \Rightarrow \sqrt{2} \cdot x - 2x = 4 - 2 \sqrt{2} \Rightarrow \\ \Rightarrow x\cdot (\sqrt{2}-2) = 2(2- \sqrt{2}) \Rightarrow x\cdot( \sqrt{2}-2) = -2( \sqrt{2}-2) \Big|$ :$ (\sqrt{2}-2) \Rightarrow \\ \Rightarrow x = -2 \in \mathbb_R \Rightarrow \boxed{S=\Big\{-2\Big\}}[/tex]
