Question

If y is a positive integer, for how many different values of y is RootIndex 3 StartRoot StartFraction 144 Over y EndFraction EndRoot a whole number? 1 2 6 15

Answer 1

Answer:it’s b

Explanation:

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Answer 2

2 possible values

Explanation:

The given expression is:

`\sqrt[3]{(144)/(y) }`

In order for this to result in a whole number, 144/y must be a perfect cube, the possible perfect cubes (under 144) are:

1, 8, 27, 64, 125

The values of y that would result in those numbers are:

`y=(144)/(1)=144 \\y=(144)/(8)=18 \\y=(144)/(27)=5.333\\y=(144)/(64)=2.25\\y=(144)/(125)=1.152`

Only two values of y are integers, therefore, there are only two possible values of y for which the given expression results in a whole number.