1189. a) $$\sqrt[5]{2\sqrt[3]{2}\sqrt{2}}$$;

1189. a) $$\sqrt[5]{2\sqrt[3]{2}\sqrt{2}}$$;

$$\sqrt[5]{2\sqrt[3]{2}\sqrt{2}} = \sqrt[5]{2\cdot 2^{\frac{1}{3}}\cdot 2^{\frac{1}{2}}} = \sqrt[5]{2^{\frac{6}{6}}2^{\frac{2}{6}}2^{\frac{3}{6}}} = \sqrt[5]{2^{\frac{11}{6}}} = 2^{\frac{11}{6*5}} = 2^{\frac{11}{30}} = \sqrt[30]{2^{11}} = \sqrt[30]{2048}$$

Ответ: $$\sqrt[30]{2048}$$