Question

Which of the following statements are​ true?
Question content area bottom
Part 1
Select all that apply.
A.
3 comma 375 is both a perfect square and a perfect cube.
B.
25 is a perfect cube.
C.
125 is a perfect cube.
D.
35 is neither a perfect square nor a perfect cube.
E.
49 is a perfect square.

Answer 1

Correct answers: C, D, and E.

Reasoning:
- A: 3,375 = 27 × 125 = 3^3 × 5^3 = 15^3, so it is a perfect cube but not a perfect square (exponents are not multiples of 2) — A is false.
- B: 25 = 5^2, not a cube — false.
- C: 125 = 5^3 — true.
- D: 35 is neither a square (6^2 = 36) nor a cube (3^3 = 27, 4^3 = 64) — true.
- E: 49 = 7^2 — true.