perplexus.info :: Just Math : Multiplying gets a square?

Home > Just Math

Multiplying gets a square? (Posted on 2004-06-26)

Is it possible to get a perfect square if you multiply three consecutive natural numbers?

See The Solution Submitted by Federico Kereki

Rating: 3.0000 (5 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)

answer

| Comment 13 of 25 |

It's simple, no. Based on he formula n(n+1)(n+2).

It's obvious that to get the perfect square we need n² therebefore (n+1)(n+2) must be equals to n, thats imposible, cause the resolutions leads you to a cuadratic equation with no real roots.

Posted by Cesar Ali on 2004-06-30 10:16:09

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 (3)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:


perplexus dot info