\[{\text{Вычислите }}\sqrt {2 + \sqrt {2 + \sqrt {2 + \sqrt {2 + ...} } } } .\]

\[6 = \sqrt {1 + 5 \cdot \sqrt {1 + 6 \cdot \sqrt {1 + 7 \cdot \sqrt {1 + 8 \cdot \sqrt {1 + ....} } } } } \]

\[3 = \sqrt {1 + 2 \cdot \sqrt {1 + 3 \cdot \sqrt {1 + 4 \cdot \sqrt {1 + 5 \cdot \sqrt {1 + ...} } } } } \]

\[{\text{Simplify }}\sqrt[n]{{a\sqrt[n]{{a\sqrt[n]{{a\sqrt[n]{{...}}}}}}}},{\text{ }}a > 0.\]

$$\sqrt[3]{{6 + \sqrt[3]{{6 + \sqrt[3]{{6 + \sqrt[3]{{6 + ...}}}}}}}}=x .$$

\[{\text{Вычислите:}}\] $$\sqrt[4]{{18 - \sqrt[4]{{18 - \sqrt[4]{{18 - ...}}}}}}$$