Question

am nevoie repede, dau coroană ​

Answer 1

Explicație pas cu pas:

$M = \Big\{ -4; \sqrt{0.(1)}; - \sqrt{3}; \dfrac{ \sqrt{64} }{4}; - \dfrac{1}{4}; 2,4; \sqrt{9}; \sqrt{5}; 11\Big\}$

$- 4 \in \mathbb{Z}$

$\sqrt{0.(1)} = \sqrt{ \dfrac{1}{9} } = \dfrac{1}{3} \in \mathbb{Q}$

$- \sqrt{3} \in \mathbb{R{/}Q}$

$\dfrac{ \sqrt{64} }{4} = \dfrac{8}{4} = 2 \in \mathbb{N}$

$- \dfrac{1}{4} \in \mathbb{Q}$

$2.4 = \dfrac{24}{10} = \dfrac{12}{5} \in \mathbb{Q}$

$\sqrt{9} = 3 \in \mathbb{N}$

$\sqrt{5} \in \mathbb{R{/}Q}$

$11\in \mathbb{N}$

=>

$M \cap \mathbb{Z} = \bigg\{ -4; \dfrac{ \sqrt{64} }{4}; \sqrt{9}; 11\bigg\}$

$M \cap \mathbb{Q} = \bigg\{ -4; \sqrt{0.(1)}; \dfrac{ \sqrt{64} }{4}; - \dfrac{1}{4}; 2,4; \sqrt{9}; 11\bigg\}$

$M \cap \mathbb{N} = \bigg\{\dfrac{ \sqrt{64} }{4}; \sqrt{9}; 11\bigg\}$

$M \cap \mathbb{R{/}Q} = \bigg\{ - \sqrt{3}; \sqrt{5}\bigg\}$