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Katena32 [7]
3 years ago
14

If y is a positive integer, for how many different values of y is

id="TexFormula1" title="\sqrt[3]{144\y}" alt="\sqrt[3]{144\y}" align="absmiddle" class="latex-formula">a whole number?

Mathematics
1 answer:
Citrus2011 [14]3 years ago
8 0

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/<u>18</u>) = ³√(8) = 2 [whole number]

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

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I hope this helps!
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3 years ago
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TEA [102]
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4 years ago
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guajiro [1.7K]

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Step-by-step explanation:

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Step-by-step explanation:

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