SOLUTION: Find the smallest natural number whose product with 58212 forms a perfect cube.

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Question 1189151: Find the smallest natural number whose product with 58212 forms a perfect cube.
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Find the smallest natural number whose product with 58212 forms a perfect cube.
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root%283%2C58212%29 =~ 38.76
39^3 = 59319
59319 - 58212 = 1107
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Ooooh, product. Just a minute.
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58212 = 2*2*3*3*3*7*7*11
Multiply by 2*7*11*11 = 1694 ---> 462^3