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is there a square, when multiplied by 3, is still a square?

3x = y

where 'x' and 'y' are both squares

 Oct 26, 2017
 #1
avatar+577 
+1

I don't think so, sorry!

 Oct 26, 2017
 #2
avatar+33661 
+2

If your numbers are all integers then the answer is no, because sqrt(3) is irrational.  If they can be reals, then yes:  (sqrt(3)*a)2 = b2, for which there are an infinite number of solutions.

 Oct 26, 2017

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