$\sqrt{$\sqrt{$\sqrt{2}$}$}$

asked by guest
on Oct 23, 2024 at 1:27 pm



You asked:

Evaluate the expression: \(\sqrt{\sqrt{\sqrt{2}}}\)

MathBot Answer:

\[\sqrt{\sqrt{\sqrt{2}}} = \sqrt[8]{2} \approx 1.09050773266525765920701065576071\]

\[\begin{aligned}\sqrt{\sqrt{\sqrt{2}}}& = \sqrt{\sqrt[4]{2}}\\& = \sqrt[8]{2}\end{aligned}\]

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