[tex]\it a=\dfrac{\sqrt3}{2} \Rightarrow a^2=\dfrac{3}{4}\\ \\ \\ b=\dfrac{9}{11} \Rightarrow b^2=\dfrac{81}{121}\\ \\ \\ c=\dfrac{2\sqrt2}{3} \Rightarrow c^2=\dfrac{8}{9}[/tex]
[tex]\it b^2<a^2 \Rightarrow\dfrac{81}{121} <\dfrac{3}{4}\Rightarrow 81\cdot4<121\cdot3 \Rightarrow 324<363\ \ (A) \\ \\ \\ a^2<c^2 \Rightarrow\dfrac{3}{4} <\dfrac{8}{9}\Rightarrow 3\cdot9<4\cdot8 \Rightarrow 27<32\ \ (A)\\ \\ \\ Deci,\ \ b^2<a^2<c^2 \Rightarrow b<a<c \Rightarrow \dfrac{9}{11}<\dfrac{\sqrt3}{2}<\dfrac{2\sqrt2}{3}[/tex]
Răspuns:
amplific cu 33; 6 ; 11; 33√3 /66 ; 54/66 ; 22√2/66 ; introduc sub radical ; √1089.3/66 ; √2916/66 ; √484.2/66 ; √3267/66 ; √2916/66 ; √968/66 ; crescator ; 2√2/3 ;9/11 ;√3/2
Explicație pas cu pas: