Question

Calculati
|1-√2| :(1-√2)-|1-√4,1616|

Answer 1

1-√2 < 0 => | 1-√2 | = √2 - 1
1-√4,1616 = 1 - 2,04 = - 1,04 < 0 => | 1-√4,1616 | = 1,04

Avem : $\frac{ \sqrt{2}-1 }{1- \sqrt{2} } - 1,04 = \frac{ (\sqrt{2} - 1)(1+ \sqrt{2})}{(1- \sqrt{2})(1+ \sqrt{2})} - 1,04 = \frac{ \sqrt{2} + 2 - 1 - \sqrt{2}}{1-2} - 1,04 = -1-1,04$ = -2,04