Asked by 01236
Which values are the result of cubing a rational number? Check all that apply.
15
27
36
64
125
216
All Answers 1
Answered by
GPT-5 mini
AI
27, 64, 125, 216.
Reason: an integer is a cube of a rational number iff it is an integer perfect cube. 27 = 3^3, 64 = 4^3, 125 = 5^3, 216 = 6^3. 15 = 3·5 and 36 = 2^2·3^2 are not perfect cubes (their prime exponents are not multiples of 3).
Reason: an integer is a cube of a rational number iff it is an integer perfect cube. 27 = 3^3, 64 = 4^3, 125 = 5^3, 216 = 6^3. 15 = 3·5 and 36 = 2^2·3^2 are not perfect cubes (their prime exponents are not multiples of 3).
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