Question

explicati modulul:$|1-\sqrt{7} | |- \sqrt{3}- \sqrt{2}| |8-\sqrt{49} | | (- \sqrt{2} ) ^{2}|$

Answer 1

$|1- \sqrt{7} ||- \sqrt{3} - \sqrt{2} ||8- \sqrt{49} ||(- \sqrt{2} )^2= \\ =( \sqrt{7} -1)( \sqrt{3} + \sqrt{2} )(8-7) \cdot 2= \\ =( \sqrt{21} + \sqrt{14} - \sqrt{3} - \sqrt{2} ) \cdot 1 \cdot 2= \\ =2 \sqrt{21} +2 \sqrt{14} -2 \sqrt{3} -2 \sqrt{2} =2( \sqrt{21} + \sqrt{14} - \sqrt{3} - \sqrt{2} )$