Question

\[\sqrt{2\sqrt{2\sqrt{2\sqrt{2}}}} \]

Answer 1

what to do with Parth?

Answer 2

Simplify :P

Answer 3

How?

Answer 4

that doesnt go on forever in a loop?

Answer 5

Nope...

Answer 6

\[\huge 2^{\frac{1}{2}}\times2^{\frac{1}{4}}\times2^{\frac{1}{8}}\times2^{\frac{1}{16}}\]

Answer 7

Wow, is that really it? :P

Answer 8

yeah

Answer 9

\[\sqrt{2\sqrt{2\sqrt{2\sqrt{2}}}}\]
\[=\sqrt{2\sqrt{2\sqrt{8}}}\]\[=\sqrt{2\sqrt{32}}\]\[=\]

Answer 10

Oh... that's a nice approach!

Answer 11

\[\sqrt{2\sqrt{32} } \implies \sqrt{128} \]

Answer 12

man wait thats wrong...

Answer 13

yeah my method is wrong

Answer 14

\[\sqrt{2\sqrt{2\sqrt{2\sqrt{2}}}}\]
\[=\sqrt{2\sqrt{2\sqrt{\sqrt{8}}}}\]\[=\sqrt{2\sqrt{\sqrt{\sqrt{16\times8}}}}\]\[=\sqrt{\sqrt{\sqrt{\sqrt{256\times16\times8}}}}\]