Bună!
a) 3,(5)=3,55...
-3√5=-3×2,236=-6,70...
-5√3=-5×1,732=-8,66...
-8,66<-6,70<3,55 ⇒ -5√3<-3√5<3,(5) ✔
b) 4/7=0,57...
√4/7=2/7=0,28...
-7/4=-1,75
-1,75<0,28<0,57 ⇒ -7/4<√4/7<4/7 ✔
c) [tex]4\frac{1}{2} =\frac{9}{2} =4,5[/tex]
[tex]-4\frac{2}{3} =-\frac{14}{3} =-4,66...[/tex]
√20=2√5=2×2,236=4,47...
-4,66<4,47<4,5 ⇒ [tex]-4\frac{2}{3} <\sqrt{20}<4\frac{1}{2}[/tex] ✔
d) [tex]-8\frac{1}{3} =-\frac{25}{3} =-8,33...[/tex]
-8,1(3)=-8,133...
-8,3(1)=-8,311...
-8,33<-8,311<-8,113 ⇒ [tex]-8\frac{1}{3}<-8,3(1)<-8,1(3)[/tex] ✔
