Question

Let `sqrt(1 + sqrt(3 + sqrt(5+ sqrt(x)))) = 2` What x?

Answer 1

`x=961`

Explanation:

`sqrt(1+sqrt(3+sqrt(5+sqrtx)))=2`

or `1+sqrt(3+sqrt(5+sqrtx))=4`

or `sqrt(3+sqrt(5+sqrtx))=3`

or `3+sqrt(5+sqrtx)=9`

or `sqrt(5+sqrtx)=6`

or `5+sqrtx=36`

or `sqrtx=31` or `x=961`