Question

Calculati:
|1-√2| + |3-√2|

Answer 1

$\rm |1-\sqrt2|+|3-\sqrt2|=\sqrt\not2-1+3-\not\sqrt\not2=-1+3=\bold{2}$

Answer 2

      
$|1- \sqrt{2}|+ |3-\sqrt{2}| \\ \\ \sqrt{2} \ \textgreater \ 1 \;\;\; \;\;\;\;si\;\;\;\;\; 3 \ \textgreater \ \sqrt{2} \\ \\ =\ \textgreater \ |1- \sqrt{2}|+ |3-\sqrt{2}| = \\ \\ =\sqrt{2}-1 + 3 - \sqrt{2} = \\ \\ =\sqrt{2} - \sqrt{2} +3 -1= 3 - 1=\boxed{2}$