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Topic: Difference of consecutive square roots (Read 616 times) |
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Aryabhatta
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Difference of consecutive square roots
« on: Mar 23rd, 2008, 12:21pm » |
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This is from Problem of the Week, Purdue University, Spring 08, Problem 5.
Given any positive integers a, n show that there is a positive integer b such that
(sqrt(a) - sqrt(a-1))n = sqrt(b) - sqrt(b-1)
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| « Last Edit: Mar 23rd, 2008, 12:21pm by Aryabhatta » |
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Aryabhatta
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Re: Difference of consecutive square roots
« Reply #1 on: May 8th, 2008, 12:32am » |
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*bump*
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towr
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Some people are average, some are just mean.
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Re: Difference of consecutive square roots
« Reply #2 on: May 8th, 2008, 12:57am » |
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I didn't have much success finding it last time, but here is Michael Dagg's thread on the same problem.
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| « Last Edit: May 8th, 2008, 12:58am by towr » |
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Wikipedia, Google, Mathworld, Integer sequence DB
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Aryabhatta
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Re: Difference of consecutive square roots
« Reply #3 on: May 8th, 2008, 12:46pm » |
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Sorry. I should have looked first. 
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