sqrt(33+sqrt(8))sqrt(6+sqrt(3+sqrt(8)))sqrt(3+sqrt(3+sqrt(3+sqrt(8))))sqrt(3-sqrt(3+sqrt(3+sqrt(8))))
√33+√8∗√6+√3+√8∗√3+√3+√3+√8∗√3−√3+√3+√8≈32.87856
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Work from the back to the front, three applications of the difference between two squares leads you to sqrt(33^2 - 8).
I just did this in great detail and then lost it all :(
Guest's answer is correct. :)