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is the quotient of two perfect squares always a perfect square? Explain your reasoning.
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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 thank you..

Sagot :

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.
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