Question

Which of the following statements are​ true?
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Part 1
Select all that apply.
A.
1 comma 000 is both a perfect square and a perfect cube.
B.
9 is a perfect cube.
C.
27 is a perfect cube.
D.
35 is neither a perfect square nor a perfect cube.
E.
16 is a perfect square.

Answer 1

C, D, and E.

- C: 27 = 3^3, so it is a perfect cube.
- D: 35 is not a perfect square (5^2 = 25, 6^2 = 36) nor a perfect cube (3^3 = 27, 4^3 = 64).
- E: 16 = 4^2, so it is a perfect square.

(A is false: 1000 = 10^3 is a cube but not a square. B is false: 9 = 3^2 is a square, not a cube.)