Укажите верные результаты сравнения чисел. \(\sqrt[4]{27}>\sqrt[3]{9}\) \(\sqrt[3]{11}>\sqrt[6]{119}\) \(\sqrt[3]{11}< \sqrt[6]{119}\) \(\sqrt[3]{\sqrt{2}}< \sqrt{\sqrt[3]{3}}\) \(\sqrt[3]{\sqrt{2}}>\sqrt{\sqrt[3]{3}}\) \(\sqrt[4]{\sqrt{(1-\sqrt{2})^8}}=1-\sqrt{2}\) \(\sqrt[4]{\sqrt{(1-\sqrt{2})^8}}>1-\sqrt{2}\) \(\sqrt[3]{\sqrt{27}}>\sqrt[3]{3}\) \(\sqrt[3]{\sqrt{27}}< \sqrt[3]{3}\) \(\sqrt[3]{7}< \sqrt{3\sqrt[3]{2}}\) \(\sqrt[3]{7}>\sqrt{3\sqrt[3]{2}}\) \(\sqrt[4]{5\sqrt[3]{5}}>\sqrt[5]{9\sqrt[3]{\dfrac{1}{3}}}\) \(\sqrt[6]{\sqrt{(2-2\sqrt{3})^2}}< \sqrt[3]{2\sqrt{3}-{2}}\) \(\sqrt[4]{\sqrt{11}}>\sqrt[6]{\sqrt[3]{12}}\) \(\sqrt[6]{(\sqrt{3}-3)^4}=\sqrt[9]{{(3-\sqrt3})^6}\)

Задание

Укажите верные результаты сравнения чисел.

\(\sqrt[4]{27}\gt \sqrt[3]{9}\)
\(\sqrt[3]{11}\gt \sqrt[6]{119}\)
\(\sqrt[3]{11}\lt \sqrt[6]{119}\)
\(\sqrt[3]{\sqrt{2}}\lt \sqrt{\sqrt[3]{3}}\)
\(\sqrt[3]{\sqrt{2}}\gt \sqrt{\sqrt[3]{3}}\)
\(\sqrt[4]{\sqrt{(1-\sqrt{2})^8}}=1-\sqrt{2}\)
\(\sqrt[4]{\sqrt{(1-\sqrt{2})^8}}\gt 1-\sqrt{2}\)
\(\sqrt[3]{\sqrt{27}}\gt \sqrt[3]{3}\)
\(\sqrt[3]{\sqrt{27}}\lt \sqrt[3]{3}\)
\(\sqrt[3]{7}\lt \sqrt{3\sqrt[3]{2}}\)
\(\sqrt[3]{7}\gt \sqrt{3\sqrt[3]{2}}\)
\(\sqrt[4]{5\sqrt[3]{5}}\gt \sqrt[5]{9\sqrt[3]{\dfrac{1}{3}}}\)
\(\sqrt[6]{\sqrt{(2-2\sqrt{3})^2}}\lt \sqrt[3]{2\sqrt{3}-{2}}\)
\(\sqrt[4]{\sqrt{11}}\gt \sqrt[6]{\sqrt[3]{12}}\)
\(\sqrt[6]{(\sqrt{3}-3)^4}=\sqrt[9]{{(3-\sqrt3})^6}\)