Sorry i forgot to answer this question for hw a brotha out. a certain number is both a perfect square and a perfect cube. will its square root and its cube root always be different numbers?

Yes.

So here's an interesting number: 4096

4096 is a perfect cube and a perfect square, the cubed root of which is also a perfect square and the square root is also a perfect cube!

4096−−−−√ =64

64−−√3 =4

4096−−−−√3 =16

16−−√ =4

the image of (6, 9) under a dilation is (4, 6). the scale factor is

tube or goog would be a great resource to with that question