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Find all values of n such that 2n is a perfect square.
 29 sept. 2013
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Hi!

A perfect square is a number that can be expressed as the product of two equal integers.

Taking into account that all 2n values are going to be even numbers, all even perfect square numbers are going to give you such n values.

EXAMPLE: Perfect square numbers: 1,4,9,16,25,36,49,64,81,100...
Take only the even numbers: 4,16,36,64,100...
The n values will be: 2,8,18,32,50....

There are infinite n values (because perfect square numbers are infinite) , so you are not going to find them all.
 17 oct. 2013

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