Mathematics, 15.09.2019 09:10 Dogtes9667
If y is a positive integer, for how many different values of y is sqrt ^ 3 144 / y a whole number?
Answers: 2
![\sqrt[n]{a^n}=a](/tpl/images/0231/5907/b69f6.png)
) must be a perfect cube in order to get a whole number. 
(Perfect cube: 
)
(Perfect cube: 
)
and 
) ![\sqrt[3]{\frac{144}{y} }](/tpl/images/0231/5907/1dd04.png)
is a whole number.
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If y is a positive integer, for how many different values of y is sqrt ^ 3 144 / y a whole number?
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