Question

|2-√5|+|√2+√5|+|1-√2|+|√3-√5|-|-√2|

Answer 1

$|2 - \sqrt{5} | + | \sqrt{2} + \sqrt{5} | + |1 - \sqrt{2} | + | \sqrt{3} - \sqrt{5} | - | - \sqrt{2} | = \\ \\ \sqrt{5} - 2 + \sqrt{2} + \sqrt{5} + \sqrt{2} - 1 + \sqrt{5} - \sqrt{3} - \sqrt{2} = \\ \\ 3 \sqrt{5} - 3 + \sqrt{2} - \sqrt{3}$