All about
flooble

fun stuff

Get a free chatterbox

Free JavaScript

Avatars
perplexus
dot
info
Home
>
Just Math
Sum Root Concern (
Posted on 20150314
)
Does there exist an integer n such that:
√(n1) + √(n+1) is a rational number?
If so, provide an example.
If not, prove the nonexistance of such an integer.
No Solution Yet
Submitted by
K Sengupta
Rating:
3.0000
(1 votes)
Comments: (
Back to comment list
 You must be logged in to post comments.
)
Computer solution (spoiler)
Comment 1 of 1
Just kidding. No computer was harmed in the solving of this problem.
If sqrt(n1)+sqrt(n+1) is rational, then so is its square.
Squaring gives 2n+2*sqrt(n^21), and this is clearly rational only if n = 1.
So n = 1 is the only possibility, but this possibility does not work,
because sqrt(0) + sqrt(2) is irrational.
So there is no such n.
Happy PiDay!
Posted by
Steve Herman
on 20150314 10:12:41
Please log in:
Login:
Password:
Remember me:
Sign up!

Forgot password
Search:
Search body:
Forums (0)
Newest Problems
Random Problem
FAQ

About This Site
Site Statistics
New Comments (4)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On
Chatterbox:
blackjack
flooble's webmaster puzzle
Copyright © 2002  2018 by
Animus Pactum Consulting
. All rights reserved.
Privacy Information