Question

va rog frumos dau coroana
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Answer 1

Răspuns:

3

Explicație pas cu pas:

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

$a = |1 - \sqrt{3} | = \sqrt{3} - 1$

$\sqrt{3} - 2 = \sqrt{3} - \sqrt{4} < 0 \\ \iff |\sqrt{3} - 2| = 2 - \sqrt{3}$

$b = |\sqrt{3} - 2| = 2 - \sqrt{3}$

$c = \dfrac{2 \sqrt{6} \cdot 4 \sqrt{2} }{ \sqrt{3} } - \dfrac{2 \sqrt{6} \cdot 3 \sqrt{3} }{ \sqrt{2} } = 2 \sqrt{2} \cdot 4 \sqrt{2} - 2 \sqrt{3} \cdot 3 \sqrt{3} = 16 - 18 = - 2$

$\implies a + b - c = \sqrt{3} - 1 + 2 - \sqrt{3} - (-2) = 1 + 2 = \bf 3$