Question

Sqrt(2+sqrt(2+sqrt(2+........=

Answer 1

let Sqrt(2+sqrt(2+sqrt(2+........ be x

Answer 2

then
Sqrt(2+sqrt(2+sqrt(2+........=Sqrt(2+x)

Answer 3

x=\[\sqrt{2+x}\]

Answer 4

x^2 -x-2 = 0

Answer 5

Not x just sqrt2+x

Answer 6

I never put an x...

Answer 7

wat??

Answer 8

U answered question already...

Answer 9

answer is 2 and -1

Answer 10

Answer is sqrt(2+x), that's it...

Answer 11

answer is 2 and -1

is the answer to x= sqrt(2+x)

Answer 12

kkk

Answer 13

I don't do numbers...

Answer 14

2

Answer 15

oh i am a little late i see...

Answer 16

already answered

Answer 17

I feel like a broken record...before you use the above 'trick' you need to establish that the process converges.

Answer 18

We are all Euler here..:-)

Answer 19

which in this case means you have only to give an upper bound, since it is increasing. i pick 2

Answer 20

Lim sqrt(a+b(sqrt(a+b sqrt.....) = (b + sqrt(b^2 +4a))/2 (a, b>0)

Answer 21

There is only one Euler ...The master of us all ;)