Question

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Answer 1

Explicație pas cu pas:

$- 3.74\in \mathbb{Q}$

$- 1.(7)\in \mathbb{Q}$

$\sqrt{1} = 1 \in \mathbb{N}$

$\sqrt{2} \in \mathbb{R - Q}$

$\dfrac{ \sqrt{ {4}^{2} } }{2} = \dfrac{4}{2} = 2 \in \mathbb{N}$

$\sqrt{1\dfrac{7}{9} } = \sqrt{ \dfrac{16}{9} } = \dfrac{4}{3} \in \mathbb{Q}$

=>

$A \cap \mathbb{N} = \Big\{ \sqrt{1}; \dfrac{ \sqrt{ {4}^{2} } }{2} \Big\}$

$A \cap \mathbb{Z} = \Big\{ \sqrt{1}; \dfrac{ \sqrt{ {4}^{2} } }{2} \Big\}$

$A \cap \mathbb{Q} = \Big\{ - 3.74; - 1.(7); \sqrt{1}; \dfrac{ \sqrt{ {4}^{2} } }{2}; \sqrt{1\dfrac{7}{9} } \Big\}$

$A \cap (\mathbb{R - Q}) = \Big\{ \sqrt{2}\Big\}$

Answer 2

Răspuns:

Explicație pas cu pas:

A={-374/100; -16/9; ±1; √2; ±2=4/2; ±√4/3}

A∩N={1; 2}

A∩Z={-2,-1;1,2}

A∩Q={-374/100; -16/9; ±1;±2; ±4/3}

A∩(R\Q)={√2}