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Topic: Seeing double (Read 574 times) |
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Benny
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Seeing double
« on: Dec 31st, 2009, 4:38am » |
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Say we have a 3-digit number A = xyz
Is it possible to get a square by writing twice the same natural number?
I mean from A = xyz to B = xyzxyz (now a 6-digit number)
My question is : could we get a number B being a square?
For example,
if A = 123, then B = 123123 is not a square
Similarly if A = 456, B = 456456 : it is not a square.
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ThudnBlunder
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Re: Seeing double
« Reply #1 on: Dec 31st, 2009, 4:52am » |
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Consider that B = 1001A = 7*11*13*A
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MathsForFun
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Re: Seeing double
« Reply #2 on: Jan 1st, 2010, 3:07am » |
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on Dec 31st, 2009, 4:38am, BenVitale wrote:| Is it possible to get a square by writing twice the same natural number? |
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No.
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