Ksiokaviz
Rozwiązane

8. zapisz w jak najprostszej postaci
e)

8 Zapisz W Jak Najprostszej Postaci E class=

Odpowiedź :

AstraySpirit2308viz

Obliczenia

[tex]\frac{2}{3}\sqrt3(5\sqrt3-4\sqrt{27}-12)=\\\\=\frac{10}{3}\sqrt{3^2}-\frac{8}{3}\sqrt{3\cdot27}-\frac{24}{3}\sqrt3=\\\\=\frac{10}{3}\cdot3-\frac{8}{3}\sqrt{81}-8\sqrt3=10-\frac{8}{3}\sqrt{9^2}-8\sqrt3=\\\\=10-\frac{8}{3}\cdot9-8\sqrt3=10-8\cdot3-8\sqrt3=\\\\=10-24-8\sqrt3=\boxed{-14-8\sqrt3}[/tex]

Veltaviz

[tex]\frac{2}{3}\sqrt{3}(5\sqrt{3}-4\sqrt{27}-12)=\\\\=\frac{2}{3}\sqrt{3}(5\sqrt{3}-4\sqrt{9\cdot3}-12)=\\\\=\frac{2}{3}\sqrt{3}(5\sqrt{3}-12\sqrt{3}-12)=\\\\=\frac{2\cdot5}{\not3}\cdot\not3-\frac{2\cdot12}{\not3}\cdot\not3-\frac{2\cdot12}{3}\sqrt{3}=\\\\=10-24-\frac{24}{3}\sqrt{3}=\\\\=\boxed{-14-8\sqrt{3}=-2(7+4\sqrt{3})}[/tex]

Viz Inne Pytanie