Is it possible to find a number with a negative cube root and a positive square root?

No, not in the real numbers.

Because a negative number has a negative cube root and a positive number has a positive square root.

galactus,

PLEASE CONSIDER THESE FIGURES:-

Positive and negative cube roots and cubes.

1 -1 1 -1
2 -2 8 -8
3 -3 27 -27
4 -4 64 -64
5 -5 125 -125
6 -6 216 -216
7 -7 343 -343
8 -8 512 -512
9 -9 729 -729
10 -10 1,000 -1,000


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Positive square roots and squares.

1 1
2 4
3 9
4 16
5 25
6 36
7 49
8 64
9 81
10 100

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1) Consider -64 in the first batch = negative
cube root = -4
2) Consider 64 in the second batch =
pistive square root = 8

Conclusion the number is 64.

Oh, I misunderstood what you meant. -64 and 64 are not the same number. I see what you were getting at.