5. Find the smallest value of k such that 525k is a perfect cube.
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Answer: If you decompose in prime factors, you get 175=52⋅7 so the smallest perfect cube is the number that we must multiply by 5 and by 7 so to create the smallest perfect cube, i.e. 53⋅73 . This number is k=5⋅72=245
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Answered by
1
Answer:
If you decompose in prime factors, you get 175=52⋅7 so the smallest perfect cube is the number that we must multiply by 5 and by 7 so to create the smallest perfect cube, i.e. 53⋅73 . This number is k=5⋅72=245 .
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