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