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1.

a)

[tex] \sqrt[3]{ \frac{10000}{10} } = \sqrt[3]{1000} = 10[/tex]

b)

[tex] \sqrt[3]{320 \times 0.2} = \sqrt[3]{64} = 4[/tex]

C)

[tex]3 + 4 = 7[/tex]

D)

[tex] \sqrt{4} = 2[/tex]

2. A

[tex] \sqrt[3]{27 \times 2} - \sqrt[3]{2} = \sqrt[3]{27} \times \sqrt[3]{2} - \sqrt[3]{2} = 3 \sqrt[3]{2} - \sqrt[3]{2} = 2 \sqrt[3]{2} [/tex]

3.

[tex]1.5 \sqrt[3]{2} \times \sqrt[3]{4} \times \frac{4}{3} = \frac{15}{10 } \times \frac{4}{3} \times \sqrt[3]{2 \times 4} = \frac{60}{30} \times \sqrt[3]{8} = 2 \times 2 = 4[/tex]

4.

a)

153 100%

x 90%

[tex]x = \frac{90 \times 153}{100} = 137.70[/tex]

b)

180 100%

x 85%

[tex]x = \frac{85 \times 180}{100} = 153[/tex]

Basetla

I.

[tex]a) \ \frac{\sqrt[3]{10000}}{\sqrt[3]{10}} =\sqrt[3]{\frac{10000}{10}} = \sqrt[3]{1000} = 10\\\\b) \ \sqrt[3]{320}\cdot\sqrt[3]{0,2} = \sqrt[3]{320\cdot0,2} = \sqrt[3]{64} = 4\\\\c) \ \sqrt[3]{27}+\sqrt[3]{64} = 3+4 = 7\\\\d) \ \sqrt\sqrt[3]{64}} = \sqrt{4} = 2[/tex]

II.

[tex]\sqrt[3]{54}-\sqrt[3]{2} =\sqrt[3]{27\cdot2}-\sqrt[3]{2} = \sqrt[3]{27}\cdot\sqrt[3]{2}-\sqrt[3]{2} = 3\sqrt[3]{2}-\sqrt[3]{2} = 2\sqrt[3]{2}\\\\Odp. \ A.[/tex]

III.

[tex]V = 1,5\sqrt[3]{2}\times\sqrt[3]{4}\times\frac{4}{3} =\frac{6}{3}\sqrt[3]{2\cdot4} = 2\sqrt[3]{8} = 2\cdot2 = 4\\\\V = a^{3}\\\\a^{3} = 4\\\\\underline{a = \sqrt[3]{4}}[/tex]

IV.

[tex]a)\\100\% - 10\% = 90\%\\\\90\%\cdot153 = 0,9\cdot153 = 137,70 \ zl\\\\b)\\100\% - 15\% = 85\%\\\\85\%\cdot180 = 0,85\cdot180 = 153 \ zl[/tex]

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