Infinite square root of 1?

2 ⤊

Infinite square root of 1?

Anybody know what number the infinite square of 1 is? it's written like this... sqrt(1+(sqrt(1+(sqrt(1+(sqrt1+.......

2006-09-14 12:09:38 · 2 answers · asked by Mark H 1 in Science & Mathematics ➔ Mathematics

2 answers

let x=sqrt(1+sqrt(1+sqrt(1+....)))

but by definition x= sqrt (1+x) (hope u get this step!)

hence x^2-x-1=0 or x=(1+sqrt(5))/2 , which is the golden ratio

2006-09-14 12:13:16 · answer #1 · answered by m s 3 · 1⤊ 1⤋

2006-09-14 12:11:07 · answer #2 · answered by onlyafewwillknow 3 · 1⤊ 1⤋