How would you solve this?

\(\sqrt{33+\sqrt{8}}*\sqrt{6+\sqrt{3+\sqrt{8}}}*\sqrt{3+\sqrt{3+\sqrt{3+\sqrt{8}}}}*\sqrt{3-\sqrt{3+\sqrt{3+\sqrt{8}}}}\approx32.87856\)

YIPPEE! I have 1111 hearts now!

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.  :)