Asked by Mathsfreak
It can be shown that for any positive integer n, the infinitely nested radical expression
(n+(n+(n+....)^1/2)^1/2)^1/2
equals a finite number. What is the largest positive integer n≤999 such that this expression is equal to a positive integer?
Details and assumptions
A nested radical expression is one which contains a radical inside another one, as in
((5^1/2)+3)^1/2
An infinitely nested radical expression is one in which the radicals continue to an infinite extent.
(n+(n+(n+....)^1/2)^1/2)^1/2
equals a finite number. What is the largest positive integer n≤999 such that this expression is equal to a positive integer?
Details and assumptions
A nested radical expression is one which contains a radical inside another one, as in
((5^1/2)+3)^1/2
An infinitely nested radical expression is one in which the radicals continue to an infinite extent.
Answers
Answered by
I AM AWESOME !!!
SO WHAT'S the Correct Answer ??
Answered by
Dr cao
991
Answered by
I AM AWESOME !!!
991 us wrong !!!
Answered by
Dr cao
992
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.