Question

Calculati |a|,unde a=|2- radical din 3| + |radical din 3 - 3| - | 2 radical din 3 - 5 |

Answer 1

Sper ca înțelegi! M-am grăbit...

Answer 2

$\it 4>3\Rightarrow \sqrt4>\sqrt3 \Rightarrow2>\sqrt3 \Rightarrow 2-\sqrt3>0 \Rightarrow|2-\sqrt3| =2-\sqrt3\\ \\ 3<9\Rightarrow\sqrt3<\sqrt9\Rightarrow\sqrt3<3\Rightarrow\sqrt3-3<0\Rightarrow|\sqrt3-3|=-\sqrt3+3\\ \\ 12<25\Rightarrow\sqrt{12}<\sqrt{25}\Rightarrow\sqrt{4\cdot3}<5\Rightarrow2\sqrt3<5\Rightarrow2\sqrt3-5<0\Rightarrow\\ \\ \Rightarrow|2\sqrt3-5|=-2\sqrt3+5$

$\it a=2-\sqrt3-\sqrt3+3+2\sqrt3-5 =0\\ \\ |a|=|0|=0$