Question

Media aritmetica a numerelor |3- radical din 11| și | radical din 11-5| este egala cu ..

Answer 1

 

$\displaystyle\\\Big|3-\sqrt{11}\Big|=?\\3^2=9\\(\sqrt{11})^2=11\\\implies~\sqrt{11}>3\\\implies~\boxed{\Big|3-\sqrt{11}\Big|=\sqrt{11}-3}\\\\\\\Big|\sqrt{11}-5\Big|=?\\5^2=25\\(\sqrt{11})^2=11\\\implies~5>\sqrt{11}\\\implies~\boxed{\Big|\sqrt{11}-5\Big|=5-\sqrt{11}}\\\\\\\text{Rezolvare:}\\\\\frac{\Big|3-\sqrt{11}\Big|+\Big|\sqrt{11}-5\Big|}{2}=\frac{\sqrt{11}-3+5-\sqrt{11}}{2}=\frac{5-3}{2}=\frac{2}{2}=\boxed{\bf1}$