perplexus.info :: Just Math : Root Difference and Seventeen Puzzle

Root Difference and Seventeen Puzzle (Posted on 2015-08-29)

Each of X and Y is a positive integer which is not a perfect square that satisfy:
√X - √Y = √17
Is each of X and Y always divisible by 17?
Give reasons for your answer.

Submitted by K Sengupta

Rating: 4.0000 (2 votes)

Solution: (Hide)

This is true for any x and y, even if x or y is a perfect square.
For an explanation, refer to the solution submitted by Steve Herman in this location.
Steve Herman has also submitted a generalization in this location.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
Generalization	Steve Herman	2015-08-30 18:56:06
Algebraic solution (spoiler)	Steve Herman	2015-08-30 07:12:23
possibly	Benny	2015-08-29 20:29:36

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