Zad 1.
a) [tex]\sqrt[3]{1} = 1[/tex]
b) [tex]\sqrt[3]{-8000} = -20[/tex]
c) [tex]\sqrt[3]{\frac{27}{1000}} = \frac{3}{10}[/tex]
d)[tex]\sqrt[3]{-\frac{125}{216}} = -\frac{5}{6}[/tex]
Zad 2.
[tex]11 \cdot 11 \cdot 11 = 1331\\12 \cdot 12 \cdot 12 = 1728\\13 \cdot 13 \cdot 13 = 2197 \\\\11 < \sqrt[3]{1402} < 12 \\\\12 < \sqrt[3]{2020} < 13[/tex]
Zad 4.
[tex]a) \sqrt[3]{216} + \sqrt[3]{(-4)^3} = 6 + (-4) = 2\\\\b) \sqrt[3]{-0.027} + \sqrt[3]{0.001} = -0.3 + 0.1 = 0.2\\\\c) \sqrt[3]{-0.008} - \sqrt[3]{-8} = -0.2 - (-2) = 1.8\\\\d) \sqrt{64} - \sqrt[3]{64} = 8 - 4 = 4\\\\e) \sqrt[3]{-0.001} + \sqrt{6.25} = -0.1 + 2.5 = 2.4\\\\f) -\sqrt{144} - \sqrt[3]{-512} = -12 - (-8) = 4\\\\[/tex]
Zad 5.
[tex]a) 2\frac{1}{4} \div 1.5 = \frac{9}{4} \div \frac{3}{2} = \frac{9}{4} \cdot \frac{2}{3} = \frac{3}{2}\\\\b) 2\frac{1}{4} + 1.5 = \frac{9}{4} + \frac{3}{2} = \frac{9}{4} + \frac{6}{4} = \frac{15}{4}\\\\c) 2\frac{1}{4} \cdot 1.5 = \frac{9}{4} \cdot \frac{3}{2} = \frac{27}{8}\\\\b) 2\frac{1}{4} - 1.5 = \frac{9}{4} - \frac{3}{2} = \frac{9}{4} - \frac{6}{4} = \frac{3}{4}[/tex]
