455. Упростить: 1) \(\frac{\sqrt[3]{49}\cdot\sqrt[3]{112}}{\sqrt[3]{250}}\); 2) \(\frac{\sqrt[4]{54}\cdot\sqrt[4]{120}}{\sqrt[4]{5}}\); 3) \(\frac{\sqrt[4]{32}}{\sqrt[4]{2}}+\sqrt[6]{27^2}-\sqrt{\sqrt[3]{64}}\); 4) \(\sqrt[3]{3\frac38}+\sqrt[4]{18}\cdot\sqrt[4]{4\frac12}-\sqrt{\sqrt{256}}\); 5) \(\sqrt[4]{17-\sqrt{33}}\cdot\sqrt[4]{17+\sqrt{33}}\).

1. \(\sqrt[3]{\frac{49\cdot112}{250}}=\sqrt[3]{\frac{14^3}{5^3}}=\frac{14}{5}.\)
2. \(\sqrt[4]{\frac{54\cdot120}{5}}=\sqrt[4]{1296}=6.\)
3. \(\sqrt[4]{16}+\sqrt[6]{729}-\sqrt{4}=2+3-2=3.\)
4. \(\sqrt[3]{\frac{27}{8}}+\sqrt[4]{81}-\sqrt{16}=\frac32+3-4=\frac12.\)
5. \(\sqrt[4]{(17-\sqrt{33})(17+\sqrt{33})}=\sqrt[4]{256}=4.\)

Ответ: 1) \(\frac{14}{5}\); 2) 6; 3) 3; 4) \(\frac12\); 5) 4.