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Arata ca numarul 8/5 apartine intervalului (3/2 , radical 3)


Răspuns :

Răspuns:

Explicație pas cu pas:

8/5 = 1,6

3/2 = 1,5

√3 ≈ 1,73  =>

3/2 < 8/5 < √3 =>

8/5 ∈ (3/2 ; √3)

[tex]\it \left.\begin{aligned} \it \dfrac{3}{2} =1,5< 1,6=\dfrac{8}{5}\\ \\ \\ \it1,6=\sqrt{2,56}<\sqrt3\end{alignes}\right\} \Rightarrow \dfrac{3}{2}<\dfrac{8}{5}<\sqrt3 \Rightarrow \dfrac{8}{5}\in \Big(\dfrac{3}{2},\ \sqrt3\Big)[/tex]