1)
[tex] \frac{2 \sqrt[3]{3} \times 3 \sqrt[3]{ - 10} }{ \sqrt[3]{5} } = \frac{2 \sqrt[3]{3} \times \sqrt[3]{27 \times ( - 10)} }{ \sqrt[3]{5} } = \frac{2 \sqrt[3]{3} \times \sqrt[3]{ - 270} }{ \sqrt[3]{5} } = 2 \sqrt[3]{3} \times \sqrt[3]{ - 54} = 2 \sqrt[3]{3} \times \sqrt[3]{27 \times 2} = 2 \sqrt[3]{3} \times 3 \sqrt[3]{2} = 6 \sqrt[3]{6} [/tex]
2)
[tex]3 \sqrt{ {5}^{2} } + 2 \sqrt{5} - 2 \sqrt[3]{ {( - 5)}^{3} } = 3 \sqrt{25} + 2 \sqrt{5} - 2 \times ( - 5) = 3 \times 5 + 2 \sqrt{5} + 10 = 15 + 2 \sqrt{5} + 10 = 25 + 2 \sqrt{5} [/tex]
3)
[tex] \sqrt{121} \times \sqrt[3]{ - 27} = 11 \times ( - 3) = - 33 [/tex]
4)
[tex] \sqrt{9} + \sqrt[3]{27} \times \sqrt[3]{ - 8} = 3 + 3 \times ( - 2) = 3 - 6 = - 3 [/tex]
5)
[tex] \sqrt[3]{49 \times 49} = \sqrt[3]{2401} = \sqrt[3]{343 \times 7} = 7 \sqrt[3]{7} [/tex]
6)
[tex] \sqrt[3]{64 \times 64} = \sqrt[3]{64} \times \sqrt[3]{64} = 4 \times 4 = 16 [/tex]
7)
[tex] \frac{ \sqrt{7} }{2 \sqrt{7} + 4 \sqrt{7} } = \frac{ \sqrt{7} }{6 \sqrt{7} } = \frac{1}{6} [/tex]
8) w załączniku
