Question

Sorry I forgot to answer this question for hw help 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?

Answer 1

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