leleelelel leleelelel

07-01-2021
Mathematics

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If y is a positive integer, for how many different values of y is [tex]\sqrt[3]{144\y}[/tex]a whole number?

If y is a positive integer for how many different values of y is texsqrt3144ytexa whole number class=

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luclaporte2 luclaporte2

07-01-2021

Answer:

2

Explanation:

I'll explain later, it has to do with prime factors, and perfect cubes.

The two values of y that work are 18, and 144.

³√(144/18) = ³√(8) = 2 [whole number]

³√(144/144) = ³√(1) = 1 [whole number]

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