wyłacz czynnik pod znak pierwiastka
![Wyłacz Czynnik Pod Znak Pierwiastka class=](https://pl-static.z-dn.net/files/d03/562040a3125a234ef8e2d4633e73b22f.jpg)
Odpowiedź:
[tex]6 \sqrt{ \frac{5}{6} } = \sqrt{ {6}^{2} \times \frac{5}{6} } = \sqrt{6 \times 5} = \sqrt{30} \\ \\ \frac{1}{2} \sqrt{12} = \sqrt{( \frac{1}{2} {)}^{2} \times 12} = \sqrt{ \frac{1}{4} \times 12 } = \sqrt{3} \\ \\ 0.1 \sqrt{200} = \sqrt{(0.1 {)}^{2} \times 2000 } = \sqrt{0.01 \times 2000 } = \sqrt{20 } \\ \\ 4 \sqrt[3]{ \frac{3}{32} } = \sqrt[3]{ {4}^{3} \times \frac{3}{32} } = \sqrt[3]{64 \times \frac{3}{32} } = \sqrt[3]{2 \times 3} = \sqrt[3]{6} [/tex]