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A number x is equal to 7*24*48*60. What is the smallest positive integer y such that the product xy is a perfect cube?

 Jun 30, 2022

Best Answer 

 #1
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 x==7*24*48*60==483,840 = 2^9 * 3^3 * 5 * 7

 

y==5^2 x  7^2 ==1,225

 

483,840  x  1,225 ==592,704,000

 

592,704,000^(1/3) == 840

 Jun 30, 2022
 #1
avatar
+1
Best Answer

 x==7*24*48*60==483,840 = 2^9 * 3^3 * 5 * 7

 

y==5^2 x  7^2 ==1,225

 

483,840  x  1,225 ==592,704,000

 

592,704,000^(1/3) == 840

Guest Jun 30, 2022

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