a)

$\sqrt{25\cdot 121\cdot 4}=\sqrt{25}\cdot \sqrt{121}\cdot \sqrt{4}=5\cdot 11\cdot 2=110$

b)

$\sqrt{\frac{{\sout{9}}^1}{{\sout{16}}^4}\cdot \frac{{\sout{4}}^1}{{\sout{81}}^9}}=\sqrt{\frac{1}{36}}=\frac{\sqrt{1}}{\sqrt{36}}=\frac{1}{6}$

c)

$\sqrt{8}\cdot \sqrt{18}=\sqrt{8\cdot 18}=\sqrt{8\cdot 2\cdot 9}=\sqrt{16\cdot 9}=\sqrt{16}\cdot \sqrt{9}=4\cdot 3=12$

d)

$\sqrt{\frac{8}{5}}\cdot \sqrt{\frac{125}{2}}=\sqrt{\frac{{\sout{8}}^4}{{\sout{5}}^1}\cdot \frac{{\sout{125}}^{25}}{{\sout{2}}^1}}=\sqrt{\left(4\cdot \frac{25}{1}\right)}=\sqrt{100}=10$

e)

$\sqrt[3]{\frac{27}{0,008}}=\frac{\sqrt[3]{27}}{\sqrt[3]{0,008}}=\frac{3}{0,2}=3:0,2=3:\frac{2}{10}=3\cdot \frac{10}{2}=\frac{30}{2}=15$

f)

$\sqrt[3]{11}\cdot \sqrt[3]{\frac{8}{11}}=\sqrt[3]{{\sout{11}}^1\cdot \frac{8}{{\sout{11}}^1}}=\sqrt[3]{8}=2$

g)

$\sqrt[3]{3\frac{3}{8}\cdot 0,001}=\sqrt[3]{3\frac{3}{8}}\cdot \sqrt[3]{0,001}=\sqrt[3]{\frac{27}{8}}\cdot 0,1=\frac{\sqrt[3]{27}}{\sqrt[3]{8}}\cdot \frac{1}{10}=\frac{3}{2}\cdot \frac{1}{10}=\frac{3}{20}$

h)

$\sqrt[3]{32\cdot \frac{2}{27}}=\sqrt[3]{\frac{64}{27}}=\frac{\sqrt[3]{64}}{\sqrt[3]{27}}=\frac{4}{3}=1\frac{1}{3}$