Question

Comparați numerele reale a=5√3 si b=6√2

Answer 1

a=5rad3=rad 25x3=rad din 75
b=6rad2=rad36x2=rad din 72
rad75>rad 72 rezulta a>b

Answer 2

 [tex]a=5\sqrt3=\sqrt{5^2\cdot3}=\sqrt{75}\;;\\ b=6\sqrt2=\sqrt{6^2\cdot2}=\sqrt{72}\;;\\ \Rightarrow\;\;\;\sqrt{75}\ \textgreater \ \sqrt{72}\;\;...\;\Rightarrow\;\;a\,\ \textgreater \ \,b[/tex]