Question

Explicitați modulul: |3 - v11|​

Answer 1

 

$\displaystyle\bf\\\Big|3-\sqrt{11}\Big|=?\\\\Modulul~tau~contine~doar~numere,~nu~contine~variabile.\\\\Rezolvare:\\\\Comparam~numerele~3~si~\sqrt{11}\\\\3^2=9\\\\\Big(\sqrt{11}\Big)^2=11\\\\11>9\\\\\implies~\sqrt{11}>3\\\\Modulul~este~pozitiv.\\Daca~eliminam~barele~verticale~ale~modulului~avem:\\\\3-\sqrt{11}<0~~deoarece~~\sqrt{11}>3\\\\\implica~~\boxed{\bf\Big|3-\sqrt{11}\Big|=\sqrt{11}-3}$