Question

Metoda de aflare cate patrate perfecte intre 2000 si 3000

Answer 1

$Avem~2000\ \textless \ x^2\ \textless \ 3000~unde~x \in N. \\ \\ De~aici~rezulta~ \sqrt{2000}\ \textless \ x\ \textless \ \sqrt{3000}. \\ \\ Folosind~algoritmul~de~extragere~a~radacinii~patrate~cu~doua~ \\ \\ zecimale~exacte~gasim:~ \sqrt{2000} \approx 44,72\ \textgreater \ 44~si~ \sqrt{3000} \approx 54,77 \ \textless \ 55. \\ \\ Deci~44\ \textless \ x\ \textless \ 55 \Rightarrow x \in \{45,46,47,...,54 \},~deci~in~total~sunt~ \\ \\ 54-45+1=10~patrate~perfecte.$