Question

ajutor
dau coroana$\sqrt{8} (\sqrt{54} -\sqrt{96} +\sqrt{150} -\sqrt{24} )-\sqrt{75}$

Answer 1

Explicație pas cu pas:

$\sqrt{8} (\sqrt{54} -\sqrt{96} +\sqrt{150} -\sqrt{24} )-\sqrt{75} = 2\sqrt{2} (3\sqrt{6} -4\sqrt{6} +5\sqrt{6} -2\sqrt{6} )-5\sqrt{3} = 2\sqrt{2} \cdot 2\sqrt{6} -5\sqrt{3} = 4 \sqrt{12} - 5 \sqrt{3} = 8 \sqrt{3} - 5 \sqrt{3} = 3 \sqrt{3}$