zad. 4
[tex]a) \sqrt{32} = \sqrt{16 \times 2} = 4 \sqrt{2} [/tex]
[tex]b) \sqrt{ \frac{2}{25} } = \frac{ \sqrt{2} }{5} [/tex]
[tex]c) \sqrt{200} = \sqrt{2 \times 100} = 10 \sqrt{2} [/tex]
[tex]d) \sqrt[3]{ - 96} = - \sqrt[3]{8 \times 12} = - 2 \sqrt[3]{12} [/tex]
[tex]e) \sqrt[3]{ \frac{7}{64} } = \frac{ \sqrt[3]{7} }{4} [/tex]
[tex]f) \sqrt{22 \times 11} = \sqrt{242} = \sqrt{121 \times 2} = 11 \sqrt{2} [/tex]
[tex]g) \sqrt[3]{ - 24 \times 54} = - \sqrt[3]{1296} = - \sqrt[3]{216 \times 6} = - 6 \sqrt[3]{6} [/tex]
zad. 5
[tex]a) \sqrt{25 \div 169} = \sqrt{ \frac{25}{169} } = \frac{5}{13} \\ b) \sqrt{2 \frac{1}{4} } = \sqrt{ \frac{9}{4} } = \frac{3}{2} \\ c) \sqrt[3]{125 \div 8} = \sqrt[3]{ \frac{125}{8} } = \frac{5}{2} [/tex]
