Question

Sa se compare:
a. 0,428571 cu √3 pe 3 ; b. √3 cu √5 ; c. √3 - 1 pe 2 cu √5 pe 3 ; d. √3 + 1 cu √10 - 1

Answer 1

a) pai √3/3=1,73/3=0,5773502
0,428571<√3/3

b)√3=1,73 si √5=2,23
√3<√5

c)√3-1=1,73-1=0,73 si totul pe 2 iti da 0,365
√5/3=2,23/3=0,74(3)
(√3-1)/3<√5/3

d)√3+1=1,73+1=2,73 si √10-1=3,16-1=2,16
√3+1>√10-1

Am folosit "/" pentru fractie.

Answer 2

$\displaystyle a).0,428571~;~ \frac{ \sqrt{3} }{3} = 0,577350 \\ \\ 0,428571\ \textless \ 0,577350 \Rightarrow 0,428571 \ \textless \ \frac{ \sqrt{3} }{3} \\ \\ b). \sqrt{3} =1,7320~;~ \sqrt{5} =2,2360 \\ \\ 1,7320\ \textless \ 2,2360 \Rightarrow \sqrt{3} \ \textless \ \sqrt{5} \\ \\ c). \frac{ \sqrt{3} -1}{2} =0,3660~;~ \frac{ \sqrt{5} }{3} =0,7453 \\ \\ 0,3660\ \textless \ 0,7453 \Rightarrow \frac{ \sqrt{3} -1}{2} \ \textless \ \frac{ \sqrt{5} }{3}$

$d). \sqrt{3} +1=2,7320~;~ \sqrt{10} -1=2,1622 \\ \\ 2,7320\ \textgreater \ 2,1622 \Rightarrow \sqrt{3} +1\ \textgreater \ \sqrt{10} -1$