Question

which of the following are cubes of even natural number please give the answer in figure the question is 42875 please give the answer
please give the answer with explanation plz ​

Answer 1

Now, collect one factor from each triplet and multiply, we get:

2×7=14

This implies that 2744 is a cube of 14.

Thus, -2744 is the cube of -14.

(v)

On factorising 42875 into prime factors, we get:

42875=5×5×5×7×7×7

On grouping the factors in triples of equal factors, we get:

42875={5×5×5}×{7×7×7}

It is evident that the prime factors of 42875 can be grouped into triples of equal factors and no factor is left over. Therefore, 42875 is a perfect cube. This implies that -42875 is also a perfect cube.

Now, collect one factor from each triplet and multiply, we get:

5×7=35

This implies that 42875 is a cube of 35.

Thus, -42875 is the cube of -35.

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