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What is the smallest positive integer such that (98*k)^(1/3) is an integer

 Jul 14, 2022
 #1
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k = 348.

 Jul 14, 2022
 #2
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What is the smallest positive integer such that (98*k)^(1/3) is an integer

 

98 = 2 * 7^2

 

28 = 2^2 * 7

 

The smallest positive k == 28

 

98 * 28 ==2,744

 

2,744^(1/3) ==14

 Jul 14, 2022

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