Question

(2p 3 Comparați numerele:
a-|√6-21+|√6-3|+|√6-4|+|√6 +11;

Answer 1

Explicație pas cu pas:

$\sqrt{6} - 21 = \sqrt{6} - \sqrt{441} < 0$

$\sqrt{6} - 3 = \sqrt{6} - \sqrt{9} < 0$

$\sqrt{6} - 4 = \sqrt{6} - \sqrt{16} < 0$

$\sqrt{6} + 11 > 0$

=>

$| \sqrt{6} - 21| + | \sqrt{6} - 3| + | \sqrt{6} - 4| + | \sqrt{6} + 11| =$

$= - ( \sqrt{6} - 21) - (\sqrt{6} - 3) - ( \sqrt{6} - 4) + ( \sqrt{6} + 11)$

$= 21 - \sqrt{6} + 3 - \sqrt{6} + 4 - \sqrt{6} + \sqrt{6} + 11$

$= 39 - 2 \sqrt{6}$