+0

# How would you solve this?

0
581
3

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))))

Sep 23, 2017

#1
+2346
+1

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

YIPPEE! I have 1111 hearts now!

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Sep 23, 2017
edited by TheXSquaredFactor  Sep 23, 2017
#2
+890
+2

Work from the back to the front, three applications of the difference between two squares leads you to sqrt(33^2 - 8).

Sep 23, 2017
#3
+108629
+1

I just did this in great detail and then lost it all :(