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

1 Answer
Apr 26, 2016

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