4TH ROOT PALINDROMIC

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MATHPRITOM
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4TH ROOT PALINDROMIC

Unread post by MATHPRITOM » Sat Feb 04, 2012 9:03 pm

Find out the smallest palindromic number>1 whose 4 th root is also a palindromic number.

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Phlembac Adib Hasan
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Re: 4TH ROOT PALINDROMIC

Unread post by Phlembac Adib Hasan » Sat Feb 04, 2012 10:08 pm

We can show $11^4$ is palindromic (Hint:Binomial Theorem).It is easy to check out none of $2^4,3^4,...,9^4$ is palindromic.Or we can use contradiction to prove this.
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