Find the smallest value of k such that 525k is a perfect cube

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Ghasfarost asked Apr 23, 2022

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Find the smallest value of k such that 525k is a perfect cube

Mathematics
college

Ghasfarost asked Apr 23, 2022

by Ghasfarost

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Answer:

If u decompose in prime factors,u 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

Ryber answered Apr 27, 2022

by Ryber

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