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Question

Test whether the numbers 343,516,729,8000 are perfect cubes or not

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Solution

343 is a perfect cube as it is a cube of 7

516 is not a perfect cube as it is not a cube of any natural number.
729 is a perfect cube as it is a cube cube of 9
8000 is a perfect cube as it is a cube cube of 20
So, 343,729,and 8000are perfect cubes but 516 is not a perfect cube.

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