Question

Urgent!!!
$| \sqrt{3} - \sqrt{2} | + | \sqrt{3} + \sqrt{2} | - | \sqrt{2} - \sqrt{3} | =$
rezolvare detaliata
$|1 - \sqrt{3} | + |2 - \sqrt{3} | - | \sqrt{3 - 3} | =$
rezolvare detaliata

Answer 1

Rezolvarea unui modul la scadere:
Ridici in mintesau pe ciorna termenii si apoi compari. Ex:
$|1 - \sqrt{3} | = ? \\ {1}^{2} = 1 \\ { \sqrt{ 3} }^{2} = 3$
Daca al doilea este mai mare, se inverseaza modulul
$| 1- \sqrt{3} | = \sqrt{3} - 1$
Si acum rezolvarea:

1.
$| \sqrt{3} - \sqrt{2} | + | \sqrt{3} + \sqrt{2} | - | \sqrt{2} - \sqrt{3} | \\ \sqrt{3} - \sqrt{2} + \sqrt{ 3} + \sqrt{2} - ( \sqrt{3} - \sqrt{2} ) \\ \sqrt{3} - \sqrt{2} + \sqrt{3} + \sqrt{2} - \sqrt{3} + \sqrt{2 } \\ \sqrt{3} + \sqrt{2}$
2.
$|1 - \sqrt{3} | + |2 - \sqrt{3} | - | \sqrt{3 - 3} | \\ \sqrt{3} - 1 + 2 - \sqrt{3} - 0 \\ 1$