Question

find the smallest number by which each of the following number must be multiplied to obtain a perfect cube. Also find the cube root of the number so obtained 256






find the smallest number by which each of the following numbers must be multiplied to obtain a perfect cube . also find the cube of the number so obtained 675




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Answer 1

Answer:

256 × 2 = (2 × 2 × 2) × (2 × 2 × 2) × (2 × 2 × 2) = 512 is a perfect cube. Hence, the smallest natural number by which 256 should be multiplied to make it a perfect cube is 2.

The smallest number required to multiply 72 to make it a perfect cube is 3. ∴ 675 is not a perfect cube. Thus, the smallest required number to multiply 675 such that the new number is a perfect cube is 5.

Answer 2

Answer:

We multiply by 2 and cube root is 8

Step-by-step explanation:

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