Answer:
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2 different values
Therefore, "y" must be a factor of 144. Therefore, for 2 different values of "y" ( and ) is a whole number
example
We need the remember that:
Therefore, the radicand (In this case ) must be a perfect cube in order to get a whole number.
Remember that a perfect cube are the numbers that have exact cube roots. Therefore, "y" must be a factor of 144.
Now, we need to descompose 144 into its prime factors:
Then, the factors of 144 are:
Substitute values into to check:
