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Show that a=(2n+1)(3n+2) is not a perfect sqare

 Mar 17, 2016
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a=(2n+1) (3n+2)

 

All we need is one counter-example to prove that this is not a perfect square.....let n = 1....and we have

 

a = (2(1) + 1) (3(1) + 2)  = (3)(5)  = 15     and that is not a perfect square....

 

For this to be a perfect square, both linear factors would have to be the same.....

 

 

 

cool cool cool

 Mar 17, 2016

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