4) Вынеси множитель из-под знака корня: 1. \(\sqrt{72}\); 2. \(\sqrt[3]{54y^4}\); 3. \(\sqrt[4]{80y^6}\); 4. \(\sqrt[5]{96p^6q^{11}}\); 5. \(\sqrt[3]{56x^6y^5}\); 6. \(\sqrt[6]{128y^{16}}\).

1. \(\sqrt{72}=\sqrt{36\cdot2}=6\sqrt2\).
2. \(\sqrt[3]{54y^4}=\sqrt[3]{27y^3\cdot2y}=3y\sqrt[3]{2y}\).
3. \(\sqrt[4]{80y^6}=\sqrt[4]{16y^4\cdot5y^2}=2y\sqrt[4]{5y^2}\).
4. \(\sqrt[5]{96p^6q^{11}}=\sqrt[5]{32p^5q^{10}\cdot3pq}=2pq^2\sqrt[5]{3pq}\).
5. \(\sqrt[3]{56x^6y^5}=\sqrt[3]{8x^6y^3\cdot7y^2}=2x^2y\sqrt[3]{7y^2}\).
6. \(\sqrt[6]{128y^{16}}=\sqrt[6]{64y^{12}\cdot2y^4}=2y^2\sqrt[6]{2y^4}\).

Ответ: 1) \(6\sqrt2\); 2) \(3y\sqrt[3]{2y}\); 3) \(2y\sqrt[4]{5y^2}\); 4) \(2pq^2\sqrt[5]{3pq}\); 5) \(2x^2y\sqrt[3]{7y^2}\); 6) \(2y^2\sqrt[6]{2y^4}\).