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Cat este parte intreaga a nr
a) [tex] \sqrt{4n^{2}+ 4n} [/tex]
b) [tex] \sqrt{16n^{2}+ 8} [/tex] (va rog frumos sa imi explicati cum se fac)


Răspuns :

a) [tex]4n^2+4n\ \textless \ (2n+1)^2 \ \textless \ =\ \textgreater \ 4n^2+4n\ \textless \ 4n^2+4n+1 (adevarat)[/tex] (1)
[tex](2n)^2 \leq 4n^2+4n \ \textless \ =\ \textgreater \ 4n^2 \leq 4n^2+4n (adevarat)[/tex](2)
din (1) si (2) => [tex](2n)^2 \leq 4n^2+4n\ \textless \ (2n+1)^2 \ \textless \ =\ \textgreater \ 2n \leq \sqrt{4n^2+4n} \ \textless \ 2n+[/tex]