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Find the smallest positive integer n such that 224*n is a perfect square.

 Dec 2, 2019
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224 = 2^5  x  7.  All we need to do here is to multiply  224 by 2 x 7 =14, which makes the factors =2^6 x 7^2=3,136 which is a perfect square. So, the smallest n = 14.

Square root of 3,136 = 56.

 Dec 2, 2019

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