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6 Feb 2010 09:34:09 IST

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P.T if n is any positive integer, then 11....1(2n times) - 222....2(n times) is the square of a posi

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P.T if n is any positive integer, then 11....1(2n times) - 222....2(n times) is the square of a positive integer.

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Raghav

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Joined: 6 Mar 2009

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6 Feb 2010 19:55:23 IST

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Hint:

Write 111...(2n times)= $\left(\frac{10^{2n}-1}{9} \right)$

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