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:

2 possible values

Step-by-step explanation:

The given expression is:

$\sqrt[3]{\frac{144}{y} }$

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:

$y=\frac{144}{1}=144 \\y=\frac{144}{8}=18 \\y=\frac{144}{27}=5.333\\y=\frac{144}{64}=2.25\\y=\frac{144}{125}=1.152$

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.

Answer 2

Answer:it’s b

Step-by-step explanation:

Just took quiz on edge 2020