Square of a Natural Numbers

Ramarao Rama Rao
Can you name the square of a natural number that is twice the square of some other natural? Number?  Answer: there is no such natural number. If A is a natural numbers.  Then 2 A square cannot be a square since a square can be represented As the product of the pairs of prime factors. There no ‘extra’ factor of two to ‘pair up with ‘ The factor of two in 2 A square.  

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