Is the quotient of two perfect squares always a perfect square? explain your reasoning.
also
two squares are drawn. the smaller square has an area of 256 square meters. the areas of the two squares have a ratio of 4: 9.what is the side length s of the larger square.
omg you..

No, the quotient of two perfect squares is not always a perfect square. take 16/9 for example, it equals 1.77777777(bar notation), which is most certainly not a perfect square.

AND

If the area of the smaller square is 256, then its side length is 16. Putting 16 into the ratio, the new ration would be 16:36 because both the 4 and 9 are multiplied by 4. So, the side length of the larger triangle is 36.