What is the least positive integer by which -256 should be multiplied so that the resultant integer is a perfect cube?
The least positive integer = _______
The resultant integer = _______
The cube-root of the resultant integer = ______
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Answer:
the least positive integer 2
the resultant integer -512
the cube root of the resultant integer (-8)×(-8)×(-8)= 512
hence the cube root is -8
Step-by-step explanation:
first we will take down the prime factorisation of -256.
the number left and that is not in pair of 3 same no,
We will multiply -256 by it that is 2
-256×2 is -512.
we will take the cube root of -512 and hence we got the answer.
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