Question

АЛГЕБРА СРОЧНО ПОМОГИТЕЕЕ​

Answer 1

а)

$\sqrt[4]{7-\sqrt{33}} \cdot \sqrt[4]{7+\sqrt{33}} = \sqrt[4]{(7-\sqrt{33})(7+\sqrt{33})} = \sqrt[4]{49-33} = \sqrt[4]{16} = \boxed{\textbf{2}}$

б)

$\sqrt[6]{\sqrt{75}+\sqrt{11}}\cdot \sqrt[6]{\sqrt{75}-\sqrt{11}} = \sqrt[6]{(\sqrt{75}+\sqrt{11})(\sqrt{75}-\sqrt{11})} = \sqrt[6]{75-11} =\\\\= \sqrt[6]{64} = \boxed{\textbf{2}}$