Ответ:
1) 3
2) 0,6
3) 200
4) 6
Пошаговое объяснение:
1)
[tex]3 \sqrt[3]{8} + 4 \sqrt[5]{ - 32} + \sqrt[4]{625} = \\ = 3 \times 2 + 4 \times ( - 2) + 5 = \\ = 6 - 8 + 5 = 3[/tex]
[tex]3[/tex]
2)
[tex] \sqrt[3]{27 \times 0.008} = \\ = \sqrt[3]{27} \times \sqrt[3]{0.008} = \\ = 3 \times 0.2 = 0.6[/tex]
[tex]0.6[/tex]
3)
[tex] \sqrt[4]{2 {}^{12} \times 5 {}^{8} } = \\ = \sqrt[4]{2 {}^{12} } \times \sqrt[4]{5 {}^{8} } = \\ = 2 {}^{ \frac{12}{4} } \times 5 {}^{ \frac{8}{4} } = \\ = 2 {}^{3} \times 5 {}^{2} = \\ = 8 \times 25 = \\ = 200[/tex]
[tex]200[/tex]
4)
[tex] \frac{ \sqrt[3]{432} }{ \sqrt[3]{2} } = \sqrt[3]{ \frac{432}{2} } = \\ = \sqrt[3]{216} = 6[/tex]
[tex]6[/tex]
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Answers & Comments
Ответ:
1) 3
2) 0,6
3) 200
4) 6
Пошаговое объяснение:
1)
[tex]3 \sqrt[3]{8} + 4 \sqrt[5]{ - 32} + \sqrt[4]{625} = \\ = 3 \times 2 + 4 \times ( - 2) + 5 = \\ = 6 - 8 + 5 = 3[/tex]
Ответ:
[tex]3[/tex]
2)
[tex] \sqrt[3]{27 \times 0.008} = \\ = \sqrt[3]{27} \times \sqrt[3]{0.008} = \\ = 3 \times 0.2 = 0.6[/tex]
Ответ:
[tex]0.6[/tex]
3)
[tex] \sqrt[4]{2 {}^{12} \times 5 {}^{8} } = \\ = \sqrt[4]{2 {}^{12} } \times \sqrt[4]{5 {}^{8} } = \\ = 2 {}^{ \frac{12}{4} } \times 5 {}^{ \frac{8}{4} } = \\ = 2 {}^{3} \times 5 {}^{2} = \\ = 8 \times 25 = \\ = 200[/tex]
Ответ:
[tex]200[/tex]
4)
[tex] \frac{ \sqrt[3]{432} }{ \sqrt[3]{2} } = \sqrt[3]{ \frac{432}{2} } = \\ = \sqrt[3]{216} = 6[/tex]
Ответ:
[tex]6[/tex]