Ответ:

  1. \(\sqrt[6]{36^3}=\sqrt[6]{(6^2)^3}=\sqrt[6]{6^6}=6\).
  2. \(\sqrt[12]{64^2}=\sqrt[12]{(2^6)^2}=\sqrt[12]{2^{12}}=2\).
  3. \(\sqrt[4]{(\frac{1}{25})^2}=\sqrt[4]{(\frac{1}{5})^4}=\frac{1}{5}\).
  4. \(\sqrt[8]{225^4}=\sqrt[8]{(15^2)^4}=\sqrt[8]{15^8}=15\).

Ответ: 1) 6; 2) 2; 3) \(\frac{1}{5}\); 4) 15.