Question

| 2 - radical din 5 | - | radical 3 + radical 5 | + | 1 - radical din 3 |​

Answer 1

Răspuns:

-3

Explicație pas cu pas:

$2 - \sqrt{5} = \sqrt{4} - \sqrt{5} < 0 \implies |2 - \sqrt{5} | = \sqrt{5} - 2$

$\sqrt{3} + \sqrt{5} > 00 \implies |\sqrt{3} + \sqrt{5}| = \sqrt{3} + \sqrt{5}$

$1 - \sqrt{3} = \sqrt{1} - \sqrt{3} < 0 \implies |1 - \sqrt{3} | = \sqrt{3} - 1$

=>

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